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Finding the Fourth Proportional to 6,126.52, 8,454.08 and 4,139.80

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Solution

The fourth proportional to 6,126.52, 8,454.08 and 4,139.80 is: 5,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.52 : 8,454.08 = 4,139.80 : x
  2. Step 2: Convert to fraction form
    6,126.52/8,454.08 = 4,139.80/x
  3. Step 3: Cross multiply
    6,126.52x = 8,454.08 × 4,139.80
  4. Step 4: Simplify right side
    6,126.52x = 34,998,200.38
  5. Step 5: Solve for x
    x = 34,998,200.38/6,126.52
  6. Step 6: Final answer
    x = 5,712.57

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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.