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Finding the Fourth Proportional to 4,266.44, 6,402.56 and 2,617.95

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Solution

The fourth proportional to 4,266.44, 6,402.56 and 2,617.95 is: 3,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.44 : 6,402.56 = 2,617.95 : x
  2. Step 2: Convert to fraction form
    4,266.44/6,402.56 = 2,617.95/x
  3. Step 3: Cross multiply
    4,266.44x = 6,402.56 × 2,617.95
  4. Step 4: Simplify right side
    4,266.44x = 16,761,607.60
  5. Step 5: Solve for x
    x = 16,761,607.60/4,266.44
  6. Step 6: Final answer
    x = 3,928.71

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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.