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Finding the Fourth Proportional to 5,631.31, 7,770.97 and 3,079.02

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Solution

The fourth proportional to 5,631.31, 7,770.97 and 3,079.02 is: 4,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.31 : 7,770.97 = 3,079.02 : x
  2. Step 2: Convert to fraction form
    5,631.31/7,770.97 = 3,079.02/x
  3. Step 3: Cross multiply
    5,631.31x = 7,770.97 × 3,079.02
  4. Step 4: Simplify right side
    5,631.31x = 23,926,965.86
  5. Step 5: Solve for x
    x = 23,926,965.86/5,631.31
  6. Step 6: Final answer
    x = 4,248.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.