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Finding the Fourth Proportional to 5,272.34, 7,275.90 and 2,882.42

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Solution

The fourth proportional to 5,272.34, 7,275.90 and 2,882.42 is: 3,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.34 : 7,275.90 = 2,882.42 : x
  2. Step 2: Convert to fraction form
    5,272.34/7,275.90 = 2,882.42/x
  3. Step 3: Cross multiply
    5,272.34x = 7,275.90 × 2,882.42
  4. Step 4: Simplify right side
    5,272.34x = 20,972,199.68
  5. Step 5: Solve for x
    x = 20,972,199.68/5,272.34
  6. Step 6: Final answer
    x = 3,977.78

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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.