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Finding the Fourth Proportional to 5,760.92, 7,951.84 and 3,608.62

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Solution

The fourth proportional to 5,760.92, 7,951.84 and 3,608.62 is: 4,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.92 : 7,951.84 = 3,608.62 : x
  2. Step 2: Convert to fraction form
    5,760.92/7,951.84 = 3,608.62/x
  3. Step 3: Cross multiply
    5,760.92x = 7,951.84 × 3,608.62
  4. Step 4: Simplify right side
    5,760.92x = 28,695,168.86
  5. Step 5: Solve for x
    x = 28,695,168.86/5,760.92
  6. Step 6: Final answer
    x = 4,981.00

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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.