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Finding the Fourth Proportional to 3,844.53, 5,305.42 and 2,166.47

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Solution

The fourth proportional to 3,844.53, 5,305.42 and 2,166.47 is: 2,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.53 : 5,305.42 = 2,166.47 : x
  2. Step 2: Convert to fraction form
    3,844.53/5,305.42 = 2,166.47/x
  3. Step 3: Cross multiply
    3,844.53x = 5,305.42 × 2,166.47
  4. Step 4: Simplify right side
    3,844.53x = 11,494,047.65
  5. Step 5: Solve for x
    x = 11,494,047.65/3,844.53
  6. Step 6: Final answer
    x = 2,989.72

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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.