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Finding the Fourth Proportional to 5,102.74, 7,041.76 and 2,979.73

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Solution

The fourth proportional to 5,102.74, 7,041.76 and 2,979.73 is: 4,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.74 : 7,041.76 = 2,979.73 : x
  2. Step 2: Convert to fraction form
    5,102.74/7,041.76 = 2,979.73/x
  3. Step 3: Cross multiply
    5,102.74x = 7,041.76 × 2,979.73
  4. Step 4: Simplify right side
    5,102.74x = 20,982,543.52
  5. Step 5: Solve for x
    x = 20,982,543.52/5,102.74
  6. Step 6: Final answer
    x = 4,112.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.