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Finding the Fourth Proportional to 3,949.90, 5,921.71 and 2,195.51

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Solution

The fourth proportional to 3,949.90, 5,921.71 and 2,195.51 is: 3,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.90 : 5,921.71 = 2,195.51 : x
  2. Step 2: Convert to fraction form
    3,949.90/5,921.71 = 2,195.51/x
  3. Step 3: Cross multiply
    3,949.90x = 5,921.71 × 2,195.51
  4. Step 4: Simplify right side
    3,949.90x = 13,001,138.42
  5. Step 5: Solve for x
    x = 13,001,138.42/3,949.90
  6. Step 6: Final answer
    x = 3,291.51

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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.