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Finding the Fourth Proportional to 4,171.36, 5,782.79 and 3,949.42

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Solution

The fourth proportional to 4,171.36, 5,782.79 and 3,949.42 is: 5,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.36 : 5,782.79 = 3,949.42 : x
  2. Step 2: Convert to fraction form
    4,171.36/5,782.79 = 3,949.42/x
  3. Step 3: Cross multiply
    4,171.36x = 5,782.79 × 3,949.42
  4. Step 4: Simplify right side
    4,171.36x = 22,838,666.48
  5. Step 5: Solve for x
    x = 22,838,666.48/4,171.36
  6. Step 6: Final answer
    x = 5,475.11

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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.