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Finding the Fourth Proportional to 4,105.84, 5,665.89 and 2,242.84

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Solution

The fourth proportional to 4,105.84, 5,665.89 and 2,242.84 is: 3,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.84 : 5,665.89 = 2,242.84 : x
  2. Step 2: Convert to fraction form
    4,105.84/5,665.89 = 2,242.84/x
  3. Step 3: Cross multiply
    4,105.84x = 5,665.89 × 2,242.84
  4. Step 4: Simplify right side
    4,105.84x = 12,707,684.73
  5. Step 5: Solve for x
    x = 12,707,684.73/4,105.84
  6. Step 6: Final answer
    x = 3,095.03

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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.