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Finding the Fourth Proportional to 5,642.76, 8,459.12 and 2,679.38

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Solution

The fourth proportional to 5,642.76, 8,459.12 and 2,679.38 is: 4,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.76 : 8,459.12 = 2,679.38 : x
  2. Step 2: Convert to fraction form
    5,642.76/8,459.12 = 2,679.38/x
  3. Step 3: Cross multiply
    5,642.76x = 8,459.12 × 2,679.38
  4. Step 4: Simplify right side
    5,642.76x = 22,665,196.95
  5. Step 5: Solve for x
    x = 22,665,196.95/5,642.76
  6. Step 6: Final answer
    x = 4,016.69

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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.