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Finding the Fourth Proportional to 3,991.92, 5,991.72 and 3,740.40

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Solution

The fourth proportional to 3,991.92, 5,991.72 and 3,740.40 is: 5,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.92 : 5,991.72 = 3,740.40 : x
  2. Step 2: Convert to fraction form
    3,991.92/5,991.72 = 3,740.40/x
  3. Step 3: Cross multiply
    3,991.92x = 5,991.72 × 3,740.40
  4. Step 4: Simplify right side
    3,991.92x = 22,411,429.49
  5. Step 5: Solve for x
    x = 22,411,429.49/3,991.92
  6. Step 6: Final answer
    x = 5,614.20

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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.