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Finding the Fourth Proportional to 3,498.17, 5,241.96 and 2,109.96

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Solution

The fourth proportional to 3,498.17, 5,241.96 and 2,109.96 is: 3,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.17 : 5,241.96 = 2,109.96 : x
  2. Step 2: Convert to fraction form
    3,498.17/5,241.96 = 2,109.96/x
  3. Step 3: Cross multiply
    3,498.17x = 5,241.96 × 2,109.96
  4. Step 4: Simplify right side
    3,498.17x = 11,060,325.92
  5. Step 5: Solve for x
    x = 11,060,325.92/3,498.17
  6. Step 6: Final answer
    x = 3,161.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.