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Finding the Fourth Proportional to 3,868.47, 5,336.28 and 2,524.46

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Solution

The fourth proportional to 3,868.47, 5,336.28 and 2,524.46 is: 3,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.47 : 5,336.28 = 2,524.46 : x
  2. Step 2: Convert to fraction form
    3,868.47/5,336.28 = 2,524.46/x
  3. Step 3: Cross multiply
    3,868.47x = 5,336.28 × 2,524.46
  4. Step 4: Simplify right side
    3,868.47x = 13,471,198.73
  5. Step 5: Solve for x
    x = 13,471,198.73/3,868.47
  6. Step 6: Final answer
    x = 3,482.31

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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.