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Finding the Fourth Proportional to 3,877.61, 5,351.09 and 2,109.24

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Solution

The fourth proportional to 3,877.61, 5,351.09 and 2,109.24 is: 2,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.61 : 5,351.09 = 2,109.24 : x
  2. Step 2: Convert to fraction form
    3,877.61/5,351.09 = 2,109.24/x
  3. Step 3: Cross multiply
    3,877.61x = 5,351.09 × 2,109.24
  4. Step 4: Simplify right side
    3,877.61x = 11,286,722.53
  5. Step 5: Solve for x
    x = 11,286,722.53/3,877.61
  6. Step 6: Final answer
    x = 2,910.75

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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.