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Finding the Fourth Proportional to 3,857.42, 5,323.20 and 2,178.80

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Solution

The fourth proportional to 3,857.42, 5,323.20 and 2,178.80 is: 3,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.42 : 5,323.20 = 2,178.80 : x
  2. Step 2: Convert to fraction form
    3,857.42/5,323.20 = 2,178.80/x
  3. Step 3: Cross multiply
    3,857.42x = 5,323.20 × 2,178.80
  4. Step 4: Simplify right side
    3,857.42x = 11,598,201.47
  5. Step 5: Solve for x
    x = 11,598,201.47/3,857.42
  6. Step 6: Final answer
    x = 3,006.73

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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.