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Finding the Fourth Proportional to 5,053.68, 7,572.18 and 3,079.82

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Solution

The fourth proportional to 5,053.68, 7,572.18 and 3,079.82 is: 4,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.68 : 7,572.18 = 3,079.82 : x
  2. Step 2: Convert to fraction form
    5,053.68/7,572.18 = 3,079.82/x
  3. Step 3: Cross multiply
    5,053.68x = 7,572.18 × 3,079.82
  4. Step 4: Simplify right side
    5,053.68x = 23,320,951.41
  5. Step 5: Solve for x
    x = 23,320,951.41/5,053.68
  6. Step 6: Final answer
    x = 4,614.65

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Why These Related Problems?

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