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Finding the Fourth Proportional to 3,496.98, 5,245.38 and 899.94

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Solution

The fourth proportional to 3,496.98, 5,245.38 and 899.94 is: 1,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.98 : 5,245.38 = 899.94 : x
  2. Step 2: Convert to fraction form
    3,496.98/5,245.38 = 899.94/x
  3. Step 3: Cross multiply
    3,496.98x = 5,245.38 × 899.94
  4. Step 4: Simplify right side
    3,496.98x = 4,720,527.28
  5. Step 5: Solve for x
    x = 4,720,527.28/3,496.98
  6. Step 6: Final answer
    x = 1,349.89

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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.