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Finding the Fourth Proportional to 5,255.87, 7,882.08 and 1,923.36

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Solution

The fourth proportional to 5,255.87, 7,882.08 and 1,923.36 is: 2,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.87 : 7,882.08 = 1,923.36 : x
  2. Step 2: Convert to fraction form
    5,255.87/7,882.08 = 1,923.36/x
  3. Step 3: Cross multiply
    5,255.87x = 7,882.08 × 1,923.36
  4. Step 4: Simplify right side
    5,255.87x = 15,160,084.96
  5. Step 5: Solve for x
    x = 15,160,084.96/5,255.87
  6. Step 6: Final answer
    x = 2,884.41

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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.