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Finding the Fourth Proportional to 5,644.89, 7,789.69 and 3,126.83

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Solution

The fourth proportional to 5,644.89, 7,789.69 and 3,126.83 is: 4,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.89 : 7,789.69 = 3,126.83 : x
  2. Step 2: Convert to fraction form
    5,644.89/7,789.69 = 3,126.83/x
  3. Step 3: Cross multiply
    5,644.89x = 7,789.69 × 3,126.83
  4. Step 4: Simplify right side
    5,644.89x = 24,357,036.38
  5. Step 5: Solve for x
    x = 24,357,036.38/5,644.89
  6. Step 6: Final answer
    x = 4,314.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.