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Finding the Fourth Proportional to 6,078.13, 8,387.60 and 3,425.38

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Solution

The fourth proportional to 6,078.13, 8,387.60 and 3,425.38 is: 4,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.13 : 8,387.60 = 3,425.38 : x
  2. Step 2: Convert to fraction form
    6,078.13/8,387.60 = 3,425.38/x
  3. Step 3: Cross multiply
    6,078.13x = 8,387.60 × 3,425.38
  4. Step 4: Simplify right side
    6,078.13x = 28,730,675.35
  5. Step 5: Solve for x
    x = 28,730,675.35/6,078.13
  6. Step 6: Final answer
    x = 4,726.90

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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.