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Finding the Fourth Proportional to 6,346.80, 8,758.36 and 3,514.14

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Solution

The fourth proportional to 6,346.80, 8,758.36 and 3,514.14 is: 4,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.80 : 8,758.36 = 3,514.14 : x
  2. Step 2: Convert to fraction form
    6,346.80/8,758.36 = 3,514.14/x
  3. Step 3: Cross multiply
    6,346.80x = 8,758.36 × 3,514.14
  4. Step 4: Simplify right side
    6,346.80x = 30,778,103.21
  5. Step 5: Solve for x
    x = 30,778,103.21/6,346.80
  6. Step 6: Final answer
    x = 4,849.39

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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.