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Finding the Fourth Proportional to 4,115.67, 5,679.66 and 2,347.37

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Solution

The fourth proportional to 4,115.67, 5,679.66 and 2,347.37 is: 3,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.67 : 5,679.66 = 2,347.37 : x
  2. Step 2: Convert to fraction form
    4,115.67/5,679.66 = 2,347.37/x
  3. Step 3: Cross multiply
    4,115.67x = 5,679.66 × 2,347.37
  4. Step 4: Simplify right side
    4,115.67x = 13,332,235.10
  5. Step 5: Solve for x
    x = 13,332,235.10/4,115.67
  6. Step 6: Final answer
    x = 3,239.38

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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.