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Finding the Fourth Proportional to 3,934.37, 5,429.37 and 2,255.74

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Solution

The fourth proportional to 3,934.37, 5,429.37 and 2,255.74 is: 3,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.37 : 5,429.37 = 2,255.74 : x
  2. Step 2: Convert to fraction form
    3,934.37/5,429.37 = 2,255.74/x
  3. Step 3: Cross multiply
    3,934.37x = 5,429.37 × 2,255.74
  4. Step 4: Simplify right side
    3,934.37x = 12,247,233.51
  5. Step 5: Solve for x
    x = 12,247,233.51/3,934.37
  6. Step 6: Final answer
    x = 3,112.88

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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.