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Finding the Fourth Proportional to 5,926.43, 8,171.65 and 4,039.16

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Solution

The fourth proportional to 5,926.43, 8,171.65 and 4,039.16 is: 5,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.43 : 8,171.65 = 4,039.16 : x
  2. Step 2: Convert to fraction form
    5,926.43/8,171.65 = 4,039.16/x
  3. Step 3: Cross multiply
    5,926.43x = 8,171.65 × 4,039.16
  4. Step 4: Simplify right side
    5,926.43x = 33,006,560.96
  5. Step 5: Solve for x
    x = 33,006,560.96/5,926.43
  6. Step 6: Final answer
    x = 5,569.38

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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.