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Finding the Fourth Proportional to 3,868.66, 5,340.13 and 2,296.75

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Solution

The fourth proportional to 3,868.66, 5,340.13 and 2,296.75 is: 3,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.66 : 5,340.13 = 2,296.75 : x
  2. Step 2: Convert to fraction form
    3,868.66/5,340.13 = 2,296.75/x
  3. Step 3: Cross multiply
    3,868.66x = 5,340.13 × 2,296.75
  4. Step 4: Simplify right side
    3,868.66x = 12,264,943.58
  5. Step 5: Solve for x
    x = 12,264,943.58/3,868.66
  6. Step 6: Final answer
    x = 3,170.33

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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.