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Finding the Fourth Proportional to 5,712.80, 8,569.22 and 2,423.57

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Solution

The fourth proportional to 5,712.80, 8,569.22 and 2,423.57 is: 3,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.80 : 8,569.22 = 2,423.57 : x
  2. Step 2: Convert to fraction form
    5,712.80/8,569.22 = 2,423.57/x
  3. Step 3: Cross multiply
    5,712.80x = 8,569.22 × 2,423.57
  4. Step 4: Simplify right side
    5,712.80x = 20,768,049.55
  5. Step 5: Solve for x
    x = 20,768,049.55/5,712.80
  6. Step 6: Final answer
    x = 3,635.36

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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.