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Finding the Fourth Proportional to 3,934.58, 5,429.87 and 2,256.31

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Solution

The fourth proportional to 3,934.58, 5,429.87 and 2,256.31 is: 3,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.58 : 5,429.87 = 2,256.31 : x
  2. Step 2: Convert to fraction form
    3,934.58/5,429.87 = 2,256.31/x
  3. Step 3: Cross multiply
    3,934.58x = 5,429.87 × 2,256.31
  4. Step 4: Simplify right side
    3,934.58x = 12,251,431.55
  5. Step 5: Solve for x
    x = 12,251,431.55/3,934.58
  6. Step 6: Final answer
    x = 3,113.78

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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.