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Finding the Fourth Proportional to 5,850.78, 8,071.08 and 3,962.44

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Solution

The fourth proportional to 5,850.78, 8,071.08 and 3,962.44 is: 5,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.78 : 8,071.08 = 3,962.44 : x
  2. Step 2: Convert to fraction form
    5,850.78/8,071.08 = 3,962.44/x
  3. Step 3: Cross multiply
    5,850.78x = 8,071.08 × 3,962.44
  4. Step 4: Simplify right side
    5,850.78x = 31,981,170.24
  5. Step 5: Solve for x
    x = 31,981,170.24/5,850.78
  6. Step 6: Final answer
    x = 5,466.14

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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.