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Finding the Fourth Proportional to 3,868.40, 5,336.18 and 2,449.48

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Solution

The fourth proportional to 3,868.40, 5,336.18 and 2,449.48 is: 3,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.40 : 5,336.18 = 2,449.48 : x
  2. Step 2: Convert to fraction form
    3,868.40/5,336.18 = 2,449.48/x
  3. Step 3: Cross multiply
    3,868.40x = 5,336.18 × 2,449.48
  4. Step 4: Simplify right side
    3,868.40x = 13,070,866.19
  5. Step 5: Solve for x
    x = 13,070,866.19/3,868.40
  6. Step 6: Final answer
    x = 3,378.88

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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.