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Finding the Fourth Proportional to 6,679.38, 9,218.14 and 3,695.88

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Solution

The fourth proportional to 6,679.38, 9,218.14 and 3,695.88 is: 5,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.38 : 9,218.14 = 3,695.88 : x
  2. Step 2: Convert to fraction form
    6,679.38/9,218.14 = 3,695.88/x
  3. Step 3: Cross multiply
    6,679.38x = 9,218.14 × 3,695.88
  4. Step 4: Simplify right side
    6,679.38x = 34,069,139.26
  5. Step 5: Solve for x
    x = 34,069,139.26/6,679.38
  6. Step 6: Final answer
    x = 5,100.64

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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.