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Finding the Fourth Proportional to 5,180.42, 7,149 and 2,822.54

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Solution

The fourth proportional to 5,180.42, 7,149 and 2,822.54 is: 3,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.42 : 7,149 = 2,822.54 : x
  2. Step 2: Convert to fraction form
    5,180.42/7,149 = 2,822.54/x
  3. Step 3: Cross multiply
    5,180.42x = 7,149 × 2,822.54
  4. Step 4: Simplify right side
    5,180.42x = 20,178,338.46
  5. Step 5: Solve for x
    x = 20,178,338.46/5,180.42
  6. Step 6: Final answer
    x = 3,895.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.