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Finding the Fourth Proportional to 3,877.56, 5,351.06 and 2,109.18

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Solution

The fourth proportional to 3,877.56, 5,351.06 and 2,109.18 is: 2,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.56 : 5,351.06 = 2,109.18 : x
  2. Step 2: Convert to fraction form
    3,877.56/5,351.06 = 2,109.18/x
  3. Step 3: Cross multiply
    3,877.56x = 5,351.06 × 2,109.18
  4. Step 4: Simplify right side
    3,877.56x = 11,286,338.18
  5. Step 5: Solve for x
    x = 11,286,338.18/3,877.56
  6. Step 6: Final answer
    x = 2,910.68

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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.