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Finding the Fourth Proportional to 5,378.67, 8,064.90 and 2,454.17

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Solution

The fourth proportional to 5,378.67, 8,064.90 and 2,454.17 is: 3,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.67 : 8,064.90 = 2,454.17 : x
  2. Step 2: Convert to fraction form
    5,378.67/8,064.90 = 2,454.17/x
  3. Step 3: Cross multiply
    5,378.67x = 8,064.90 × 2,454.17
  4. Step 4: Simplify right side
    5,378.67x = 19,792,595.31
  5. Step 5: Solve for x
    x = 19,792,595.31/5,378.67
  6. Step 6: Final answer
    x = 3,679.83

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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.