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Finding the Fourth Proportional to 3,496.75, 5,245.13 and 899.70

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Solution

The fourth proportional to 3,496.75, 5,245.13 and 899.70 is: 1,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.75 : 5,245.13 = 899.70 : x
  2. Step 2: Convert to fraction form
    3,496.75/5,245.13 = 899.70/x
  3. Step 3: Cross multiply
    3,496.75x = 5,245.13 × 899.70
  4. Step 4: Simplify right side
    3,496.75x = 4,719,043.46
  5. Step 5: Solve for x
    x = 4,719,043.46/3,496.75
  6. Step 6: Final answer
    x = 1,349.55

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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.