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Finding the Fourth Proportional to 5,182.68, 7,149.12 and 3,192.84

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Solution

The fourth proportional to 5,182.68, 7,149.12 and 3,192.84 is: 4,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.68 : 7,149.12 = 3,192.84 : x
  2. Step 2: Convert to fraction form
    5,182.68/7,149.12 = 3,192.84/x
  3. Step 3: Cross multiply
    5,182.68x = 7,149.12 × 3,192.84
  4. Step 4: Simplify right side
    5,182.68x = 22,825,996.30
  5. Step 5: Solve for x
    x = 22,825,996.30/5,182.68
  6. Step 6: Final answer
    x = 4,404.28

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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.