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Finding the Fourth Proportional to 5,180.33, 7,148.86 and 2,822.48

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Solution

The fourth proportional to 5,180.33, 7,148.86 and 2,822.48 is: 3,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.33 : 7,148.86 = 2,822.48 : x
  2. Step 2: Convert to fraction form
    5,180.33/7,148.86 = 2,822.48/x
  3. Step 3: Cross multiply
    5,180.33x = 7,148.86 × 2,822.48
  4. Step 4: Simplify right side
    5,180.33x = 20,177,478.63
  5. Step 5: Solve for x
    x = 20,177,478.63/5,180.33
  6. Step 6: Final answer
    x = 3,895.02

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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.