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Finding the Fourth Proportional to 3,867.66, 5,338.75 and 2,295.75

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Solution

The fourth proportional to 3,867.66, 5,338.75 and 2,295.75 is: 3,168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.66 : 5,338.75 = 2,295.75 : x
  2. Step 2: Convert to fraction form
    3,867.66/5,338.75 = 2,295.75/x
  3. Step 3: Cross multiply
    3,867.66x = 5,338.75 × 2,295.75
  4. Step 4: Simplify right side
    3,867.66x = 12,256,429.57
  5. Step 5: Solve for x
    x = 12,256,429.57/3,867.66
  6. Step 6: Final answer
    x = 3,168.95

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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.