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Finding the Fourth Proportional to 5,843.80, 8,062.38 and 3,749.08

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Solution

The fourth proportional to 5,843.80, 8,062.38 and 3,749.08 is: 5,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.80 : 8,062.38 = 3,749.08 : x
  2. Step 2: Convert to fraction form
    5,843.80/8,062.38 = 3,749.08/x
  3. Step 3: Cross multiply
    5,843.80x = 8,062.38 × 3,749.08
  4. Step 4: Simplify right side
    5,843.80x = 30,226,507.61
  5. Step 5: Solve for x
    x = 30,226,507.61/5,843.80
  6. Step 6: Final answer
    x = 5,172.41

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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.