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Finding the Fourth Proportional to 5,170.88, 7,757.36 and 1,474.24

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Solution

The fourth proportional to 5,170.88, 7,757.36 and 1,474.24 is: 2,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.88 : 7,757.36 = 1,474.24 : x
  2. Step 2: Convert to fraction form
    5,170.88/7,757.36 = 1,474.24/x
  3. Step 3: Cross multiply
    5,170.88x = 7,757.36 × 1,474.24
  4. Step 4: Simplify right side
    5,170.88x = 11,436,210.41
  5. Step 5: Solve for x
    x = 11,436,210.41/5,170.88
  6. Step 6: Final answer
    x = 2,211.66

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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.