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Finding the Fourth Proportional to 5,766.74, 8,648.72 and 2,644.79

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Solution

The fourth proportional to 5,766.74, 8,648.72 and 2,644.79 is: 3,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.74 : 8,648.72 = 2,644.79 : x
  2. Step 2: Convert to fraction form
    5,766.74/8,648.72 = 2,644.79/x
  3. Step 3: Cross multiply
    5,766.74x = 8,648.72 × 2,644.79
  4. Step 4: Simplify right side
    5,766.74x = 22,874,034.94
  5. Step 5: Solve for x
    x = 22,874,034.94/5,766.74
  6. Step 6: Final answer
    x = 3,966.55

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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.