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Finding the Fourth Proportional to 5,801.81, 8,006.66 and 3,149.38

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Solution

The fourth proportional to 5,801.81, 8,006.66 and 3,149.38 is: 4,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.81 : 8,006.66 = 3,149.38 : x
  2. Step 2: Convert to fraction form
    5,801.81/8,006.66 = 3,149.38/x
  3. Step 3: Cross multiply
    5,801.81x = 8,006.66 × 3,149.38
  4. Step 4: Simplify right side
    5,801.81x = 25,216,020.94
  5. Step 5: Solve for x
    x = 25,216,020.94/5,801.81
  6. Step 6: Final answer
    x = 4,346.24

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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.