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Finding the Fourth Proportional to 6,139.57, 8,471.13 and 3,585.88

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Solution

The fourth proportional to 6,139.57, 8,471.13 and 3,585.88 is: 4,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.57 : 8,471.13 = 3,585.88 : x
  2. Step 2: Convert to fraction form
    6,139.57/8,471.13 = 3,585.88/x
  3. Step 3: Cross multiply
    6,139.57x = 8,471.13 × 3,585.88
  4. Step 4: Simplify right side
    6,139.57x = 30,376,452.79
  5. Step 5: Solve for x
    x = 30,376,452.79/6,139.57
  6. Step 6: Final answer
    x = 4,947.65

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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.