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Finding the Fourth Proportional to 3,792.45, 5,688.68 and 1,713.18

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Solution

The fourth proportional to 3,792.45, 5,688.68 and 1,713.18 is: 2,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.45 : 5,688.68 = 1,713.18 : x
  2. Step 2: Convert to fraction form
    3,792.45/5,688.68 = 1,713.18/x
  3. Step 3: Cross multiply
    3,792.45x = 5,688.68 × 1,713.18
  4. Step 4: Simplify right side
    3,792.45x = 9,745,724.24
  5. Step 5: Solve for x
    x = 9,745,724.24/3,792.45
  6. Step 6: Final answer
    x = 2,569.77

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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.