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Finding the Fourth Proportional to 5,100.67, 7,039.11 and 3,109.83

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Solution

The fourth proportional to 5,100.67, 7,039.11 and 3,109.83 is: 4,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.67 : 7,039.11 = 3,109.83 : x
  2. Step 2: Convert to fraction form
    5,100.67/7,039.11 = 3,109.83/x
  3. Step 3: Cross multiply
    5,100.67x = 7,039.11 × 3,109.83
  4. Step 4: Simplify right side
    5,100.67x = 21,890,435.45
  5. Step 5: Solve for x
    x = 21,890,435.45/5,100.67
  6. Step 6: Final answer
    x = 4,291.68

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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.