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Finding the Fourth Proportional to 4,171.35, 5,782.80 and 3,949.41

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Solution

The fourth proportional to 4,171.35, 5,782.80 and 3,949.41 is: 5,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.35 : 5,782.80 = 3,949.41 : x
  2. Step 2: Convert to fraction form
    4,171.35/5,782.80 = 3,949.41/x
  3. Step 3: Cross multiply
    4,171.35x = 5,782.80 × 3,949.41
  4. Step 4: Simplify right side
    4,171.35x = 22,838,648.15
  5. Step 5: Solve for x
    x = 22,838,648.15/4,171.35
  6. Step 6: Final answer
    x = 5,475.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.