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Finding the Fourth Proportional to 5,471.79, 8,206.91 and 3,124.17

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Solution

The fourth proportional to 5,471.79, 8,206.91 and 3,124.17 is: 4,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.79 : 8,206.91 = 3,124.17 : x
  2. Step 2: Convert to fraction form
    5,471.79/8,206.91 = 3,124.17/x
  3. Step 3: Cross multiply
    5,471.79x = 8,206.91 × 3,124.17
  4. Step 4: Simplify right side
    5,471.79x = 25,639,766.39
  5. Step 5: Solve for x
    x = 25,639,766.39/5,471.79
  6. Step 6: Final answer
    x = 4,685.81

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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.