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Finding the Fourth Proportional to 6,346.82, 8,758.38 and 3,514.31

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Solution

The fourth proportional to 6,346.82, 8,758.38 and 3,514.31 is: 4,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.82 : 8,758.38 = 3,514.31 : x
  2. Step 2: Convert to fraction form
    6,346.82/8,758.38 = 3,514.31/x
  3. Step 3: Cross multiply
    6,346.82x = 8,758.38 × 3,514.31
  4. Step 4: Simplify right side
    6,346.82x = 30,779,662.42
  5. Step 5: Solve for x
    x = 30,779,662.42/6,346.82
  6. Step 6: Final answer
    x = 4,849.62

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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.