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Finding the Fourth Proportional to 5,589.48, 7,708.38 and 4,843.08

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Solution

The fourth proportional to 5,589.48, 7,708.38 and 4,843.08 is: 6,679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.48 : 7,708.38 = 4,843.08 : x
  2. Step 2: Convert to fraction form
    5,589.48/7,708.38 = 4,843.08/x
  3. Step 3: Cross multiply
    5,589.48x = 7,708.38 × 4,843.08
  4. Step 4: Simplify right side
    5,589.48x = 37,332,301.01
  5. Step 5: Solve for x
    x = 37,332,301.01/5,589.48
  6. Step 6: Final answer
    x = 6,679.03

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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.