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Finding the Fourth Proportional to 5,949.78, 8,207.93 and 4,182.42

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Solution

The fourth proportional to 5,949.78, 8,207.93 and 4,182.42 is: 5,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.78 : 8,207.93 = 4,182.42 : x
  2. Step 2: Convert to fraction form
    5,949.78/8,207.93 = 4,182.42/x
  3. Step 3: Cross multiply
    5,949.78x = 8,207.93 × 4,182.42
  4. Step 4: Simplify right side
    5,949.78x = 34,329,010.59
  5. Step 5: Solve for x
    x = 34,329,010.59/5,949.78
  6. Step 6: Final answer
    x = 5,769.79

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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.