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Finding the Fourth Proportional to 5,773.88, 7,959.66 and 4,115

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Solution

The fourth proportional to 5,773.88, 7,959.66 and 4,115 is: 5,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.88 : 7,959.66 = 4,115 : x
  2. Step 2: Convert to fraction form
    5,773.88/7,959.66 = 4,115/x
  3. Step 3: Cross multiply
    5,773.88x = 7,959.66 × 4,115
  4. Step 4: Simplify right side
    5,773.88x = 32,754,000.90
  5. Step 5: Solve for x
    x = 32,754,000.90/5,773.88
  6. Step 6: Final answer
    x = 5,672.79

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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.