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Finding the Fourth Proportional to 4,092.39, 6,139.80 and 1,319.49

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Solution

The fourth proportional to 4,092.39, 6,139.80 and 1,319.49 is: 1,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.39 : 6,139.80 = 1,319.49 : x
  2. Step 2: Convert to fraction form
    4,092.39/6,139.80 = 1,319.49/x
  3. Step 3: Cross multiply
    4,092.39x = 6,139.80 × 1,319.49
  4. Step 4: Simplify right side
    4,092.39x = 8,101,404.70
  5. Step 5: Solve for x
    x = 8,101,404.70/4,092.39
  6. Step 6: Final answer
    x = 1,979.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.