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Finding the Fourth Proportional to 5,180.39, 7,148.74 and 2,822.48

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Solution

The fourth proportional to 5,180.39, 7,148.74 and 2,822.48 is: 3,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.39 : 7,148.74 = 2,822.48 : x
  2. Step 2: Convert to fraction form
    5,180.39/7,148.74 = 2,822.48/x
  3. Step 3: Cross multiply
    5,180.39x = 7,148.74 × 2,822.48
  4. Step 4: Simplify right side
    5,180.39x = 20,177,125.82
  5. Step 5: Solve for x
    x = 20,177,125.82/5,180.39
  6. Step 6: Final answer
    x = 3,894.91

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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.