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Finding the Fourth Proportional to 3,988.26, 5,978.53 and 2,234.12

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Solution

The fourth proportional to 3,988.26, 5,978.53 and 2,234.12 is: 3,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.26 : 5,978.53 = 2,234.12 : x
  2. Step 2: Convert to fraction form
    3,988.26/5,978.53 = 2,234.12/x
  3. Step 3: Cross multiply
    3,988.26x = 5,978.53 × 2,234.12
  4. Step 4: Simplify right side
    3,988.26x = 13,356,753.44
  5. Step 5: Solve for x
    x = 13,356,753.44/3,988.26
  6. Step 6: Final answer
    x = 3,349.02

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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.