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Finding the Fourth Proportional to 5,668.14, 8,507.60 and 3,481.14

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Solution

The fourth proportional to 5,668.14, 8,507.60 and 3,481.14 is: 5,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.14 : 8,507.60 = 3,481.14 : x
  2. Step 2: Convert to fraction form
    5,668.14/8,507.60 = 3,481.14/x
  3. Step 3: Cross multiply
    5,668.14x = 8,507.60 × 3,481.14
  4. Step 4: Simplify right side
    5,668.14x = 29,616,146.66
  5. Step 5: Solve for x
    x = 29,616,146.66/5,668.14
  6. Step 6: Final answer
    x = 5,225.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.