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Finding the Fourth Proportional to 5,227.76, 7,841.72 and 1,332.24

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Solution

The fourth proportional to 5,227.76, 7,841.72 and 1,332.24 is: 1,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.76 : 7,841.72 = 1,332.24 : x
  2. Step 2: Convert to fraction form
    5,227.76/7,841.72 = 1,332.24/x
  3. Step 3: Cross multiply
    5,227.76x = 7,841.72 × 1,332.24
  4. Step 4: Simplify right side
    5,227.76x = 10,447,053.05
  5. Step 5: Solve for x
    x = 10,447,053.05/5,227.76
  6. Step 6: Final answer
    x = 1,998.38

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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.