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Finding the Fourth Proportional to 5,660.46, 8,493.12 and 3,463.74

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Solution

The fourth proportional to 5,660.46, 8,493.12 and 3,463.74 is: 5,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.46 : 8,493.12 = 3,463.74 : x
  2. Step 2: Convert to fraction form
    5,660.46/8,493.12 = 3,463.74/x
  3. Step 3: Cross multiply
    5,660.46x = 8,493.12 × 3,463.74
  4. Step 4: Simplify right side
    5,660.46x = 29,417,959.47
  5. Step 5: Solve for x
    x = 29,417,959.47/5,660.46
  6. Step 6: Final answer
    x = 5,197.10

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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.