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Finding the Fourth Proportional to 5,911.78, 8,158.14 and 3,223.02

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Solution

The fourth proportional to 5,911.78, 8,158.14 and 3,223.02 is: 4,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.78 : 8,158.14 = 3,223.02 : x
  2. Step 2: Convert to fraction form
    5,911.78/8,158.14 = 3,223.02/x
  3. Step 3: Cross multiply
    5,911.78x = 8,158.14 × 3,223.02
  4. Step 4: Simplify right side
    5,911.78x = 26,293,848.38
  5. Step 5: Solve for x
    x = 26,293,848.38/5,911.78
  6. Step 6: Final answer
    x = 4,447.71

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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.