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Finding the Fourth Proportional to 3,877.74, 5,351.28 and 2,109.34

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Solution

The fourth proportional to 3,877.74, 5,351.28 and 2,109.34 is: 2,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.74 : 5,351.28 = 2,109.34 : x
  2. Step 2: Convert to fraction form
    3,877.74/5,351.28 = 2,109.34/x
  3. Step 3: Cross multiply
    3,877.74x = 5,351.28 × 2,109.34
  4. Step 4: Simplify right side
    3,877.74x = 11,287,668.96
  5. Step 5: Solve for x
    x = 11,287,668.96/3,877.74
  6. Step 6: Final answer
    x = 2,910.89

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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.