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Finding the Fourth Proportional to 5,789.36, 7,987.16 and 3,801.04

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Solution

The fourth proportional to 5,789.36, 7,987.16 and 3,801.04 is: 5,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.36 : 7,987.16 = 3,801.04 : x
  2. Step 2: Convert to fraction form
    5,789.36/7,987.16 = 3,801.04/x
  3. Step 3: Cross multiply
    5,789.36x = 7,987.16 × 3,801.04
  4. Step 4: Simplify right side
    5,789.36x = 30,359,514.65
  5. Step 5: Solve for x
    x = 30,359,514.65/5,789.36
  6. Step 6: Final answer
    x = 5,244.02

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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.