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Finding the Fourth Proportional to 4,105.78, 5,665.98 and 2,242.78

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Solution

The fourth proportional to 4,105.78, 5,665.98 and 2,242.78 is: 3,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.78 : 5,665.98 = 2,242.78 : x
  2. Step 2: Convert to fraction form
    4,105.78/5,665.98 = 2,242.78/x
  3. Step 3: Cross multiply
    4,105.78x = 5,665.98 × 2,242.78
  4. Step 4: Simplify right side
    4,105.78x = 12,707,546.62
  5. Step 5: Solve for x
    x = 12,707,546.62/4,105.78
  6. Step 6: Final answer
    x = 3,095.04

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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.