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Finding the Fourth Proportional to 6,426.26, 8,868.42 and 3,593.56

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Solution

The fourth proportional to 6,426.26, 8,868.42 and 3,593.56 is: 4,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.26 : 8,868.42 = 3,593.56 : x
  2. Step 2: Convert to fraction form
    6,426.26/8,868.42 = 3,593.56/x
  3. Step 3: Cross multiply
    6,426.26x = 8,868.42 × 3,593.56
  4. Step 4: Simplify right side
    6,426.26x = 31,869,199.38
  5. Step 5: Solve for x
    x = 31,869,199.38/6,426.26
  6. Step 6: Final answer
    x = 4,959.21

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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.