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Finding the Fourth Proportional to 5,225.75, 7,867.13 and 4,766.48

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Solution

The fourth proportional to 5,225.75, 7,867.13 and 4,766.48 is: 7,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.75 : 7,867.13 = 4,766.48 : x
  2. Step 2: Convert to fraction form
    5,225.75/7,867.13 = 4,766.48/x
  3. Step 3: Cross multiply
    5,225.75x = 7,867.13 × 4,766.48
  4. Step 4: Simplify right side
    5,225.75x = 37,498,517.80
  5. Step 5: Solve for x
    x = 37,498,517.80/5,225.75
  6. Step 6: Final answer
    x = 7,175.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.