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Finding the Fourth Proportional to 3,729.72, 5,567.43 and 3,459.48

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Solution

The fourth proportional to 3,729.72, 5,567.43 and 3,459.48 is: 5,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.72 : 5,567.43 = 3,459.48 : x
  2. Step 2: Convert to fraction form
    3,729.72/5,567.43 = 3,459.48/x
  3. Step 3: Cross multiply
    3,729.72x = 5,567.43 × 3,459.48
  4. Step 4: Simplify right side
    3,729.72x = 19,260,412.74
  5. Step 5: Solve for x
    x = 19,260,412.74/3,729.72
  6. Step 6: Final answer
    x = 5,164.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.