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Finding the Fourth Proportional to 3,788.34, 5,228.09 and 2,109.86

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Solution

The fourth proportional to 3,788.34, 5,228.09 and 2,109.86 is: 2,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.34 : 5,228.09 = 2,109.86 : x
  2. Step 2: Convert to fraction form
    3,788.34/5,228.09 = 2,109.86/x
  3. Step 3: Cross multiply
    3,788.34x = 5,228.09 × 2,109.86
  4. Step 4: Simplify right side
    3,788.34x = 11,030,537.97
  5. Step 5: Solve for x
    x = 11,030,537.97/3,788.34
  6. Step 6: Final answer
    x = 2,911.71

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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.