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Finding the Fourth Proportional to 3,844.32, 5,304.84 and 2,272.14

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Solution

The fourth proportional to 3,844.32, 5,304.84 and 2,272.14 is: 3,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.32 : 5,304.84 = 2,272.14 : x
  2. Step 2: Convert to fraction form
    3,844.32/5,304.84 = 2,272.14/x
  3. Step 3: Cross multiply
    3,844.32x = 5,304.84 × 2,272.14
  4. Step 4: Simplify right side
    3,844.32x = 12,053,339.16
  5. Step 5: Solve for x
    x = 12,053,339.16/3,844.32
  6. Step 6: Final answer
    x = 3,135.36

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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.