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Finding the Fourth Proportional to 5,644.24, 8,470.20 and 2,568.40

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Solution

The fourth proportional to 5,644.24, 8,470.20 and 2,568.40 is: 3,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.24 : 8,470.20 = 2,568.40 : x
  2. Step 2: Convert to fraction form
    5,644.24/8,470.20 = 2,568.40/x
  3. Step 3: Cross multiply
    5,644.24x = 8,470.20 × 2,568.40
  4. Step 4: Simplify right side
    5,644.24x = 21,754,861.68
  5. Step 5: Solve for x
    x = 21,754,861.68/5,644.24
  6. Step 6: Final answer
    x = 3,854.35

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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.