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Finding the Fourth Proportional to 5,652.71, 8,472.51 and 2,140.49

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Solution

The fourth proportional to 5,652.71, 8,472.51 and 2,140.49 is: 3,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.71 : 8,472.51 = 2,140.49 : x
  2. Step 2: Convert to fraction form
    5,652.71/8,472.51 = 2,140.49/x
  3. Step 3: Cross multiply
    5,652.71x = 8,472.51 × 2,140.49
  4. Step 4: Simplify right side
    5,652.71x = 18,135,280.57
  5. Step 5: Solve for x
    x = 18,135,280.57/5,652.71
  6. Step 6: Final answer
    x = 3,208.24

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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.