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Finding the Fourth Proportional to 3,147.75, 4,718.52 and 1,761.75

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Solution

The fourth proportional to 3,147.75, 4,718.52 and 1,761.75 is: 2,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.75 : 4,718.52 = 1,761.75 : x
  2. Step 2: Convert to fraction form
    3,147.75/4,718.52 = 1,761.75/x
  3. Step 3: Cross multiply
    3,147.75x = 4,718.52 × 1,761.75
  4. Step 4: Simplify right side
    3,147.75x = 8,312,852.61
  5. Step 5: Solve for x
    x = 8,312,852.61/3,147.75
  6. Step 6: Final answer
    x = 2,640.89

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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.