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Finding the Fourth Proportional to 5,957.20, 8,932.20 and 2,669.68

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Solution

The fourth proportional to 5,957.20, 8,932.20 and 2,669.68 is: 4,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.20 : 8,932.20 = 2,669.68 : x
  2. Step 2: Convert to fraction form
    5,957.20/8,932.20 = 2,669.68/x
  3. Step 3: Cross multiply
    5,957.20x = 8,932.20 × 2,669.68
  4. Step 4: Simplify right side
    5,957.20x = 23,846,115.70
  5. Step 5: Solve for x
    x = 23,846,115.70/5,957.20
  6. Step 6: Final answer
    x = 4,002.91

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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.