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Finding the Fourth Proportional to 4,149.16, 6,223.42 and 1,229.36

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Solution

The fourth proportional to 4,149.16, 6,223.42 and 1,229.36 is: 1,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.16 : 6,223.42 = 1,229.36 : x
  2. Step 2: Convert to fraction form
    4,149.16/6,223.42 = 1,229.36/x
  3. Step 3: Cross multiply
    4,149.16x = 6,223.42 × 1,229.36
  4. Step 4: Simplify right side
    4,149.16x = 7,650,823.61
  5. Step 5: Solve for x
    x = 7,650,823.61/4,149.16
  6. Step 6: Final answer
    x = 1,843.95

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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.