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Finding the Fourth Proportional to 3,843.72, 5,304.48 and 2,165.04

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Solution

The fourth proportional to 3,843.72, 5,304.48 and 2,165.04 is: 2,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.72 : 5,304.48 = 2,165.04 : x
  2. Step 2: Convert to fraction form
    3,843.72/5,304.48 = 2,165.04/x
  3. Step 3: Cross multiply
    3,843.72x = 5,304.48 × 2,165.04
  4. Step 4: Simplify right side
    3,843.72x = 11,484,411.38
  5. Step 5: Solve for x
    x = 11,484,411.38/3,843.72
  6. Step 6: Final answer
    x = 2,987.84

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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.