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Finding the Fourth Proportional to 6,308.88, 8,706.86 and 3,514.38

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Solution

The fourth proportional to 6,308.88, 8,706.86 and 3,514.38 is: 4,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.88 : 8,706.86 = 3,514.38 : x
  2. Step 2: Convert to fraction form
    6,308.88/8,706.86 = 3,514.38/x
  3. Step 3: Cross multiply
    6,308.88x = 8,706.86 × 3,514.38
  4. Step 4: Simplify right side
    6,308.88x = 30,599,214.65
  5. Step 5: Solve for x
    x = 30,599,214.65/6,308.88
  6. Step 6: Final answer
    x = 4,850.18

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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.