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Finding the Fourth Proportional to 4,105.52, 5,665.62 and 2,242.52

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Solution

The fourth proportional to 4,105.52, 5,665.62 and 2,242.52 is: 3,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.52 : 5,665.62 = 2,242.52 : x
  2. Step 2: Convert to fraction form
    4,105.52/5,665.62 = 2,242.52/x
  3. Step 3: Cross multiply
    4,105.52x = 5,665.62 × 2,242.52
  4. Step 4: Simplify right side
    4,105.52x = 12,705,266.16
  5. Step 5: Solve for x
    x = 12,705,266.16/4,105.52
  6. Step 6: Final answer
    x = 3,094.68

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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.