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Finding the Fourth Proportional to 6,077.72, 8,387.16 and 3,425.38

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Solution

The fourth proportional to 6,077.72, 8,387.16 and 3,425.38 is: 4,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.72 : 8,387.16 = 3,425.38 : x
  2. Step 2: Convert to fraction form
    6,077.72/8,387.16 = 3,425.38/x
  3. Step 3: Cross multiply
    6,077.72x = 8,387.16 × 3,425.38
  4. Step 4: Simplify right side
    6,077.72x = 28,729,210.12
  5. Step 5: Solve for x
    x = 28,729,210.12/6,077.72
  6. Step 6: Final answer
    x = 4,726.97

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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.