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Finding the Fourth Proportional to 5,470.87, 8,206.31 and 4,370.08

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Solution

The fourth proportional to 5,470.87, 8,206.31 and 4,370.08 is: 6,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.87 : 8,206.31 = 4,370.08 : x
  2. Step 2: Convert to fraction form
    5,470.87/8,206.31 = 4,370.08/x
  3. Step 3: Cross multiply
    5,470.87x = 8,206.31 × 4,370.08
  4. Step 4: Simplify right side
    5,470.87x = 35,862,251.72
  5. Step 5: Solve for x
    x = 35,862,251.72/5,470.87
  6. Step 6: Final answer
    x = 6,555.12

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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.