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Finding the Fourth Proportional to 5,686.08, 7,845.89 and 3,167.38

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Solution

The fourth proportional to 5,686.08, 7,845.89 and 3,167.38 is: 4,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.08 : 7,845.89 = 3,167.38 : x
  2. Step 2: Convert to fraction form
    5,686.08/7,845.89 = 3,167.38/x
  3. Step 3: Cross multiply
    5,686.08x = 7,845.89 × 3,167.38
  4. Step 4: Simplify right side
    5,686.08x = 24,850,915.07
  5. Step 5: Solve for x
    x = 24,850,915.07/5,686.08
  6. Step 6: Final answer
    x = 4,370.48

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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.