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Finding the Fourth Proportional to 3,792.16, 5,232.99 and 2,113.48

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Solution

The fourth proportional to 3,792.16, 5,232.99 and 2,113.48 is: 2,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.16 : 5,232.99 = 2,113.48 : x
  2. Step 2: Convert to fraction form
    3,792.16/5,232.99 = 2,113.48/x
  3. Step 3: Cross multiply
    3,792.16x = 5,232.99 × 2,113.48
  4. Step 4: Simplify right side
    3,792.16x = 11,059,819.71
  5. Step 5: Solve for x
    x = 11,059,819.71/3,792.16
  6. Step 6: Final answer
    x = 2,916.50

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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.