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Finding the Fourth Proportional to 5,176.67, 7,759.58 and 2,254.19

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Solution

The fourth proportional to 5,176.67, 7,759.58 and 2,254.19 is: 3,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.67 : 7,759.58 = 2,254.19 : x
  2. Step 2: Convert to fraction form
    5,176.67/7,759.58 = 2,254.19/x
  3. Step 3: Cross multiply
    5,176.67x = 7,759.58 × 2,254.19
  4. Step 4: Simplify right side
    5,176.67x = 17,491,517.57
  5. Step 5: Solve for x
    x = 17,491,517.57/5,176.67
  6. Step 6: Final answer
    x = 3,378.92

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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.