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Finding the Fourth Proportional to 5,693.62, 8,543.06 and 2,182.47

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Solution

The fourth proportional to 5,693.62, 8,543.06 and 2,182.47 is: 3,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.62 : 8,543.06 = 2,182.47 : x
  2. Step 2: Convert to fraction form
    5,693.62/8,543.06 = 2,182.47/x
  3. Step 3: Cross multiply
    5,693.62x = 8,543.06 × 2,182.47
  4. Step 4: Simplify right side
    5,693.62x = 18,644,972.16
  5. Step 5: Solve for x
    x = 18,644,972.16/5,693.62
  6. Step 6: Final answer
    x = 3,274.71

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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.