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Finding the Fourth Proportional to 3,857.49, 5,323.25 and 2,178.70

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Solution

The fourth proportional to 3,857.49, 5,323.25 and 2,178.70 is: 3,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.49 : 5,323.25 = 2,178.70 : x
  2. Step 2: Convert to fraction form
    3,857.49/5,323.25 = 2,178.70/x
  3. Step 3: Cross multiply
    3,857.49x = 5,323.25 × 2,178.70
  4. Step 4: Simplify right side
    3,857.49x = 11,597,756.91
  5. Step 5: Solve for x
    x = 11,597,756.91/3,857.49
  6. Step 6: Final answer
    x = 3,006.56

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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.