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Finding the Fourth Proportional to 6,086, 8,398.68 and 3,291.50

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Solution

The fourth proportional to 6,086, 8,398.68 and 3,291.50 is: 4,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086 : 8,398.68 = 3,291.50 : x
  2. Step 2: Convert to fraction form
    6,086/8,398.68 = 3,291.50/x
  3. Step 3: Cross multiply
    6,086x = 8,398.68 × 3,291.50
  4. Step 4: Simplify right side
    6,086x = 27,644,255.22
  5. Step 5: Solve for x
    x = 27,644,255.22/6,086
  6. Step 6: Final answer
    x = 4,542.27

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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.