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Finding the Fourth Proportional to 3,766.53, 5,197.67 and 2,275.32

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Solution

The fourth proportional to 3,766.53, 5,197.67 and 2,275.32 is: 3,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.53 : 5,197.67 = 2,275.32 : x
  2. Step 2: Convert to fraction form
    3,766.53/5,197.67 = 2,275.32/x
  3. Step 3: Cross multiply
    3,766.53x = 5,197.67 × 2,275.32
  4. Step 4: Simplify right side
    3,766.53x = 11,826,351.13
  5. Step 5: Solve for x
    x = 11,826,351.13/3,766.53
  6. Step 6: Final answer
    x = 3,139.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.