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Finding the Fourth Proportional to 3,906.60, 5,860.92 and 1,715.76

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Solution

The fourth proportional to 3,906.60, 5,860.92 and 1,715.76 is: 2,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.60 : 5,860.92 = 1,715.76 : x
  2. Step 2: Convert to fraction form
    3,906.60/5,860.92 = 1,715.76/x
  3. Step 3: Cross multiply
    3,906.60x = 5,860.92 × 1,715.76
  4. Step 4: Simplify right side
    3,906.60x = 10,055,932.10
  5. Step 5: Solve for x
    x = 10,055,932.10/3,906.60
  6. Step 6: Final answer
    x = 2,574.09

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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.