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Finding the Fourth Proportional to 5,282.96, 7,924.17 and 1,387.22

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Solution

The fourth proportional to 5,282.96, 7,924.17 and 1,387.22 is: 2,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.96 : 7,924.17 = 1,387.22 : x
  2. Step 2: Convert to fraction form
    5,282.96/7,924.17 = 1,387.22/x
  3. Step 3: Cross multiply
    5,282.96x = 7,924.17 × 1,387.22
  4. Step 4: Simplify right side
    5,282.96x = 10,992,567.11
  5. Step 5: Solve for x
    x = 10,992,567.11/5,282.96
  6. Step 6: Final answer
    x = 2,080.76

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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.