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Finding the Fourth Proportional to 5,160.96, 7,122.78 and 2,923.20

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Solution

The fourth proportional to 5,160.96, 7,122.78 and 2,923.20 is: 4,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.96 : 7,122.78 = 2,923.20 : x
  2. Step 2: Convert to fraction form
    5,160.96/7,122.78 = 2,923.20/x
  3. Step 3: Cross multiply
    5,160.96x = 7,122.78 × 2,923.20
  4. Step 4: Simplify right side
    5,160.96x = 20,821,310.50
  5. Step 5: Solve for x
    x = 20,821,310.50/5,160.96
  6. Step 6: Final answer
    x = 4,034.39

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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.