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Finding the Fourth Proportional to 5,180.54, 7,148.90 and 2,822.68

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Solution

The fourth proportional to 5,180.54, 7,148.90 and 2,822.68 is: 3,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.54 : 7,148.90 = 2,822.68 : x
  2. Step 2: Convert to fraction form
    5,180.54/7,148.90 = 2,822.68/x
  3. Step 3: Cross multiply
    5,180.54x = 7,148.90 × 2,822.68
  4. Step 4: Simplify right side
    5,180.54x = 20,179,057.05
  5. Step 5: Solve for x
    x = 20,179,057.05/5,180.54
  6. Step 6: Final answer
    x = 3,895.16

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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.