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Finding the Fourth Proportional to 4,125.97, 6,184.97 and 1,350.71

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Solution

The fourth proportional to 4,125.97, 6,184.97 and 1,350.71 is: 2,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.97 : 6,184.97 = 1,350.71 : x
  2. Step 2: Convert to fraction form
    4,125.97/6,184.97 = 1,350.71/x
  3. Step 3: Cross multiply
    4,125.97x = 6,184.97 × 1,350.71
  4. Step 4: Simplify right side
    4,125.97x = 8,354,063.15
  5. Step 5: Solve for x
    x = 8,354,063.15/4,125.97
  6. Step 6: Final answer
    x = 2,024.75

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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.