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Finding the Fourth Proportional to 5,587.62, 8,378.22 and 2,298

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Solution

The fourth proportional to 5,587.62, 8,378.22 and 2,298 is: 3,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.62 : 8,378.22 = 2,298 : x
  2. Step 2: Convert to fraction form
    5,587.62/8,378.22 = 2,298/x
  3. Step 3: Cross multiply
    5,587.62x = 8,378.22 × 2,298
  4. Step 4: Simplify right side
    5,587.62x = 19,253,149.56
  5. Step 5: Solve for x
    x = 19,253,149.56/5,587.62
  6. Step 6: Final answer
    x = 3,445.68

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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.