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Finding the Fourth Proportional to 5,657.25, 8,489.76 and 2,885.82

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Solution

The fourth proportional to 5,657.25, 8,489.76 and 2,885.82 is: 4,330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.25 : 8,489.76 = 2,885.82 : x
  2. Step 2: Convert to fraction form
    5,657.25/8,489.76 = 2,885.82/x
  3. Step 3: Cross multiply
    5,657.25x = 8,489.76 × 2,885.82
  4. Step 4: Simplify right side
    5,657.25x = 24,499,919.20
  5. Step 5: Solve for x
    x = 24,499,919.20/5,657.25
  6. Step 6: Final answer
    x = 4,330.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.