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Finding the Fourth Proportional to 3,788.43, 5,227.90 and 2,109.84

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Solution

The fourth proportional to 3,788.43, 5,227.90 and 2,109.84 is: 2,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.43 : 5,227.90 = 2,109.84 : x
  2. Step 2: Convert to fraction form
    3,788.43/5,227.90 = 2,109.84/x
  3. Step 3: Cross multiply
    3,788.43x = 5,227.90 × 2,109.84
  4. Step 4: Simplify right side
    3,788.43x = 11,030,032.54
  5. Step 5: Solve for x
    x = 11,030,032.54/3,788.43
  6. Step 6: Final answer
    x = 2,911.50

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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.