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Finding the Fourth Proportional to 3,792.96, 5,685.28 and 2,475.04

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Solution

The fourth proportional to 3,792.96, 5,685.28 and 2,475.04 is: 3,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.96 : 5,685.28 = 2,475.04 : x
  2. Step 2: Convert to fraction form
    3,792.96/5,685.28 = 2,475.04/x
  3. Step 3: Cross multiply
    3,792.96x = 5,685.28 × 2,475.04
  4. Step 4: Simplify right side
    3,792.96x = 14,071,295.41
  5. Step 5: Solve for x
    x = 14,071,295.41/3,792.96
  6. Step 6: Final answer
    x = 3,709.85

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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.