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Finding the Fourth Proportional to 3,877.69, 5,351.73 and 3,772.15

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Solution

The fourth proportional to 3,877.69, 5,351.73 and 3,772.15 is: 5,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.69 : 5,351.73 = 3,772.15 : x
  2. Step 2: Convert to fraction form
    3,877.69/5,351.73 = 3,772.15/x
  3. Step 3: Cross multiply
    3,877.69x = 5,351.73 × 3,772.15
  4. Step 4: Simplify right side
    3,877.69x = 20,187,528.32
  5. Step 5: Solve for x
    x = 20,187,528.32/3,877.69
  6. Step 6: Final answer
    x = 5,206.07

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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.