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Finding the Fourth Proportional to 3,754.64, 5,180.36 and 2,182.16

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Solution

The fourth proportional to 3,754.64, 5,180.36 and 2,182.16 is: 3,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.64 : 5,180.36 = 2,182.16 : x
  2. Step 2: Convert to fraction form
    3,754.64/5,180.36 = 2,182.16/x
  3. Step 3: Cross multiply
    3,754.64x = 5,180.36 × 2,182.16
  4. Step 4: Simplify right side
    3,754.64x = 11,304,374.38
  5. Step 5: Solve for x
    x = 11,304,374.38/3,754.64
  6. Step 6: Final answer
    x = 3,010.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.