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Finding the Fourth Proportional to 5,564.78, 8,344.17 and 1,865.78

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Solution

The fourth proportional to 5,564.78, 8,344.17 and 1,865.78 is: 2,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.78 : 8,344.17 = 1,865.78 : x
  2. Step 2: Convert to fraction form
    5,564.78/8,344.17 = 1,865.78/x
  3. Step 3: Cross multiply
    5,564.78x = 8,344.17 × 1,865.78
  4. Step 4: Simplify right side
    5,564.78x = 15,568,343.78
  5. Step 5: Solve for x
    x = 15,568,343.78/5,564.78
  6. Step 6: Final answer
    x = 2,797.66

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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.