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Finding the Fourth Proportional to 3,844.87, 5,306.24 and 2,166.19

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Solution

The fourth proportional to 3,844.87, 5,306.24 and 2,166.19 is: 2,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.87 : 5,306.24 = 2,166.19 : x
  2. Step 2: Convert to fraction form
    3,844.87/5,306.24 = 2,166.19/x
  3. Step 3: Cross multiply
    3,844.87x = 5,306.24 × 2,166.19
  4. Step 4: Simplify right side
    3,844.87x = 11,494,316.18
  5. Step 5: Solve for x
    x = 11,494,316.18/3,844.87
  6. Step 6: Final answer
    x = 2,989.52

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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.