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Finding the Fourth Proportional to 3,740.29, 5,610.72 and 3,641.86

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Solution

The fourth proportional to 3,740.29, 5,610.72 and 3,641.86 is: 5,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.29 : 5,610.72 = 3,641.86 : x
  2. Step 2: Convert to fraction form
    3,740.29/5,610.72 = 3,641.86/x
  3. Step 3: Cross multiply
    3,740.29x = 5,610.72 × 3,641.86
  4. Step 4: Simplify right side
    3,740.29x = 20,433,456.74
  5. Step 5: Solve for x
    x = 20,433,456.74/3,740.29
  6. Step 6: Final answer
    x = 5,463.07

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