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Finding the Fourth Proportional to 3,766.98, 5,651.02 and 1,170.12

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Solution

The fourth proportional to 3,766.98, 5,651.02 and 1,170.12 is: 1,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.98 : 5,651.02 = 1,170.12 : x
  2. Step 2: Convert to fraction form
    3,766.98/5,651.02 = 1,170.12/x
  3. Step 3: Cross multiply
    3,766.98x = 5,651.02 × 1,170.12
  4. Step 4: Simplify right side
    3,766.98x = 6,612,371.52
  5. Step 5: Solve for x
    x = 6,612,371.52/3,766.98
  6. Step 6: Final answer
    x = 1,755.35

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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.