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Finding the Fourth Proportional to 5,644.38, 7,789.11 and 3,126.45

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Solution

The fourth proportional to 5,644.38, 7,789.11 and 3,126.45 is: 4,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.38 : 7,789.11 = 3,126.45 : x
  2. Step 2: Convert to fraction form
    5,644.38/7,789.11 = 3,126.45/x
  3. Step 3: Cross multiply
    5,644.38x = 7,789.11 × 3,126.45
  4. Step 4: Simplify right side
    5,644.38x = 24,352,254.22
  5. Step 5: Solve for x
    x = 24,352,254.22/5,644.38
  6. Step 6: Final answer
    x = 4,314.42

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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.