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Finding the Fourth Proportional to 5,711.92, 8,566.24 and 2,201.72

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Solution

The fourth proportional to 5,711.92, 8,566.24 and 2,201.72 is: 3,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.92 : 8,566.24 = 2,201.72 : x
  2. Step 2: Convert to fraction form
    5,711.92/8,566.24 = 2,201.72/x
  3. Step 3: Cross multiply
    5,711.92x = 8,566.24 × 2,201.72
  4. Step 4: Simplify right side
    5,711.92x = 18,860,461.93
  5. Step 5: Solve for x
    x = 18,860,461.93/5,711.92
  6. Step 6: Final answer
    x = 3,301.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.