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Finding the Fourth Proportional to 5,344.29, 8,009.45 and 3,868.48

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Solution

The fourth proportional to 5,344.29, 8,009.45 and 3,868.48 is: 5,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.29 : 8,009.45 = 3,868.48 : x
  2. Step 2: Convert to fraction form
    5,344.29/8,009.45 = 3,868.48/x
  3. Step 3: Cross multiply
    5,344.29x = 8,009.45 × 3,868.48
  4. Step 4: Simplify right side
    5,344.29x = 30,984,397.14
  5. Step 5: Solve for x
    x = 30,984,397.14/5,344.29
  6. Step 6: Final answer
    x = 5,797.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.