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Finding the Fourth Proportional to 4,151.78, 6,223.51 and 1,517.15

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Solution

The fourth proportional to 4,151.78, 6,223.51 and 1,517.15 is: 2,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.78 : 6,223.51 = 1,517.15 : x
  2. Step 2: Convert to fraction form
    4,151.78/6,223.51 = 1,517.15/x
  3. Step 3: Cross multiply
    4,151.78x = 6,223.51 × 1,517.15
  4. Step 4: Simplify right side
    4,151.78x = 9,441,998.20
  5. Step 5: Solve for x
    x = 9,441,998.20/4,151.78
  6. Step 6: Final answer
    x = 2,274.20

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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.