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Finding the Fourth Proportional to 5,821.76, 8,731.10 and 3,972.54

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Solution

The fourth proportional to 5,821.76, 8,731.10 and 3,972.54 is: 5,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.76 : 8,731.10 = 3,972.54 : x
  2. Step 2: Convert to fraction form
    5,821.76/8,731.10 = 3,972.54/x
  3. Step 3: Cross multiply
    5,821.76x = 8,731.10 × 3,972.54
  4. Step 4: Simplify right side
    5,821.76x = 34,684,643.99
  5. Step 5: Solve for x
    x = 34,684,643.99/5,821.76
  6. Step 6: Final answer
    x = 5,957.76

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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.