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Finding the Fourth Proportional to 6,349.85, 8,758.07 and 4,110

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Solution

The fourth proportional to 6,349.85, 8,758.07 and 4,110 is: 5,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.85 : 8,758.07 = 4,110 : x
  2. Step 2: Convert to fraction form
    6,349.85/8,758.07 = 4,110/x
  3. Step 3: Cross multiply
    6,349.85x = 8,758.07 × 4,110
  4. Step 4: Simplify right side
    6,349.85x = 35,995,667.70
  5. Step 5: Solve for x
    x = 35,995,667.70/6,349.85
  6. Step 6: Final answer
    x = 5,668.74

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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.