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Finding the Fourth Proportional to 5,589.79, 7,714.37 and 3,604.48

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Solution

The fourth proportional to 5,589.79, 7,714.37 and 3,604.48 is: 4,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.79 : 7,714.37 = 3,604.48 : x
  2. Step 2: Convert to fraction form
    5,589.79/7,714.37 = 3,604.48/x
  3. Step 3: Cross multiply
    5,589.79x = 7,714.37 × 3,604.48
  4. Step 4: Simplify right side
    5,589.79x = 27,806,292.38
  5. Step 5: Solve for x
    x = 27,806,292.38/5,589.79
  6. Step 6: Final answer
    x = 4,974.48

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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.