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Finding the Fourth Proportional to 5,249.76, 7,869.24 and 3,600.96

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Solution

The fourth proportional to 5,249.76, 7,869.24 and 3,600.96 is: 5,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.76 : 7,869.24 = 3,600.96 : x
  2. Step 2: Convert to fraction form
    5,249.76/7,869.24 = 3,600.96/x
  3. Step 3: Cross multiply
    5,249.76x = 7,869.24 × 3,600.96
  4. Step 4: Simplify right side
    5,249.76x = 28,336,818.47
  5. Step 5: Solve for x
    x = 28,336,818.47/5,249.76
  6. Step 6: Final answer
    x = 5,397.74

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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.