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Finding the Fourth Proportional to 5,101.67, 7,649.12 and 2,463.95

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Solution

The fourth proportional to 5,101.67, 7,649.12 and 2,463.95 is: 3,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.67 : 7,649.12 = 2,463.95 : x
  2. Step 2: Convert to fraction form
    5,101.67/7,649.12 = 2,463.95/x
  3. Step 3: Cross multiply
    5,101.67x = 7,649.12 × 2,463.95
  4. Step 4: Simplify right side
    5,101.67x = 18,846,998.66
  5. Step 5: Solve for x
    x = 18,846,998.66/5,101.67
  6. Step 6: Final answer
    x = 3,694.28

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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.