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Finding the Fourth Proportional to 3,877.80, 5,351.40 and 2,109.42

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Solution

The fourth proportional to 3,877.80, 5,351.40 and 2,109.42 is: 2,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.80 : 5,351.40 = 2,109.42 : x
  2. Step 2: Convert to fraction form
    3,877.80/5,351.40 = 2,109.42/x
  3. Step 3: Cross multiply
    3,877.80x = 5,351.40 × 2,109.42
  4. Step 4: Simplify right side
    3,877.80x = 11,288,350.19
  5. Step 5: Solve for x
    x = 11,288,350.19/3,877.80
  6. Step 6: Final answer
    x = 2,911.02

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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.