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Finding the Fourth Proportional to 4,105.46, 5,665.52 and 2,242.46

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Solution

The fourth proportional to 4,105.46, 5,665.52 and 2,242.46 is: 3,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.46 : 5,665.52 = 2,242.46 : x
  2. Step 2: Convert to fraction form
    4,105.46/5,665.52 = 2,242.46/x
  3. Step 3: Cross multiply
    4,105.46x = 5,665.52 × 2,242.46
  4. Step 4: Simplify right side
    4,105.46x = 12,704,701.98
  5. Step 5: Solve for x
    x = 12,704,701.98/4,105.46
  6. Step 6: Final answer
    x = 3,094.59

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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.