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Finding the Fourth Proportional to 3,878.34, 5,352.02 and 2,109.90

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Solution

The fourth proportional to 3,878.34, 5,352.02 and 2,109.90 is: 2,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.34 : 5,352.02 = 2,109.90 : x
  2. Step 2: Convert to fraction form
    3,878.34/5,352.02 = 2,109.90/x
  3. Step 3: Cross multiply
    3,878.34x = 5,352.02 × 2,109.90
  4. Step 4: Simplify right side
    3,878.34x = 11,292,227.00
  5. Step 5: Solve for x
    x = 11,292,227.00/3,878.34
  6. Step 6: Final answer
    x = 2,911.61

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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.