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Finding the Fourth Proportional to 5,403.57, 7,462.25 and 3,729.30

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Solution

The fourth proportional to 5,403.57, 7,462.25 and 3,729.30 is: 5,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.57 : 7,462.25 = 3,729.30 : x
  2. Step 2: Convert to fraction form
    5,403.57/7,462.25 = 3,729.30/x
  3. Step 3: Cross multiply
    5,403.57x = 7,462.25 × 3,729.30
  4. Step 4: Simplify right side
    5,403.57x = 27,828,968.93
  5. Step 5: Solve for x
    x = 27,828,968.93/5,403.57
  6. Step 6: Final answer
    x = 5,150.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.