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Finding the Fourth Proportional to 6,710.38, 9,259.89 and 3,726.22

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Solution

The fourth proportional to 6,710.38, 9,259.89 and 3,726.22 is: 5,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.38 : 9,259.89 = 3,726.22 : x
  2. Step 2: Convert to fraction form
    6,710.38/9,259.89 = 3,726.22/x
  3. Step 3: Cross multiply
    6,710.38x = 9,259.89 × 3,726.22
  4. Step 4: Simplify right side
    6,710.38x = 34,504,387.32
  5. Step 5: Solve for x
    x = 34,504,387.32/6,710.38
  6. Step 6: Final answer
    x = 5,141.94

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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.