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Finding the Fourth Proportional to 3,838.73, 5,760.32 and 2,524.10

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Solution

The fourth proportional to 3,838.73, 5,760.32 and 2,524.10 is: 3,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.73 : 5,760.32 = 2,524.10 : x
  2. Step 2: Convert to fraction form
    3,838.73/5,760.32 = 2,524.10/x
  3. Step 3: Cross multiply
    3,838.73x = 5,760.32 × 2,524.10
  4. Step 4: Simplify right side
    3,838.73x = 14,539,582.29
  5. Step 5: Solve for x
    x = 14,539,582.29/3,838.73
  6. Step 6: Final answer
    x = 3,787.61

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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.