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Finding the Fourth Proportional to 3,660.47, 5,493.77 and 1,906.08

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Solution

The fourth proportional to 3,660.47, 5,493.77 and 1,906.08 is: 2,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.47 : 5,493.77 = 1,906.08 : x
  2. Step 2: Convert to fraction form
    3,660.47/5,493.77 = 1,906.08/x
  3. Step 3: Cross multiply
    3,660.47x = 5,493.77 × 1,906.08
  4. Step 4: Simplify right side
    3,660.47x = 10,471,569.89
  5. Step 5: Solve for x
    x = 10,471,569.89/3,660.47
  6. Step 6: Final answer
    x = 2,860.72

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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.