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Finding the Fourth Proportional to 3,919.62, 5,374.01 and 3,849.46

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Solution

The fourth proportional to 3,919.62, 5,374.01 and 3,849.46 is: 5,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.62 : 5,374.01 = 3,849.46 : x
  2. Step 2: Convert to fraction form
    3,919.62/5,374.01 = 3,849.46/x
  3. Step 3: Cross multiply
    3,919.62x = 5,374.01 × 3,849.46
  4. Step 4: Simplify right side
    3,919.62x = 20,687,032.72
  5. Step 5: Solve for x
    x = 20,687,032.72/3,919.62
  6. Step 6: Final answer
    x = 5,277.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.