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Finding the Fourth Proportional to 5,616.24, 8,426.52 and 2,152.68

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Solution

The fourth proportional to 5,616.24, 8,426.52 and 2,152.68 is: 3,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.24 : 8,426.52 = 2,152.68 : x
  2. Step 2: Convert to fraction form
    5,616.24/8,426.52 = 2,152.68/x
  3. Step 3: Cross multiply
    5,616.24x = 8,426.52 × 2,152.68
  4. Step 4: Simplify right side
    5,616.24x = 18,139,601.07
  5. Step 5: Solve for x
    x = 18,139,601.07/5,616.24
  6. Step 6: Final answer
    x = 3,229.85

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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.