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Finding the Fourth Proportional to 5,104.92, 7,657.38 and 1,642.44

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Solution

The fourth proportional to 5,104.92, 7,657.38 and 1,642.44 is: 2,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.92 : 7,657.38 = 1,642.44 : x
  2. Step 2: Convert to fraction form
    5,104.92/7,657.38 = 1,642.44/x
  3. Step 3: Cross multiply
    5,104.92x = 7,657.38 × 1,642.44
  4. Step 4: Simplify right side
    5,104.92x = 12,576,787.21
  5. Step 5: Solve for x
    x = 12,576,787.21/5,104.92
  6. Step 6: Final answer
    x = 2,463.66

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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.