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Finding the Fourth Proportional to 3,635.78, 5,453.61 and 899.78

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Solution

The fourth proportional to 3,635.78, 5,453.61 and 899.78 is: 1,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.78 : 5,453.61 = 899.78 : x
  2. Step 2: Convert to fraction form
    3,635.78/5,453.61 = 899.78/x
  3. Step 3: Cross multiply
    3,635.78x = 5,453.61 × 899.78
  4. Step 4: Simplify right side
    3,635.78x = 4,907,049.21
  5. Step 5: Solve for x
    x = 4,907,049.21/3,635.78
  6. Step 6: Final answer
    x = 1,349.66

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,636.78, 5,455.11 and 900.78
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.