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Finding the Fourth Proportional to 6,281.38, 8,668.84 and 3,449.30

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Solution

The fourth proportional to 6,281.38, 8,668.84 and 3,449.30 is: 4,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.38 : 8,668.84 = 3,449.30 : x
  2. Step 2: Convert to fraction form
    6,281.38/8,668.84 = 3,449.30/x
  3. Step 3: Cross multiply
    6,281.38x = 8,668.84 × 3,449.30
  4. Step 4: Simplify right side
    6,281.38x = 29,901,429.81
  5. Step 5: Solve for x
    x = 29,901,429.81/6,281.38
  6. Step 6: Final answer
    x = 4,760.33

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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.