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Finding the Fourth Proportional to 3,965.99, 5,942.59 and 2,582.71

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Solution

The fourth proportional to 3,965.99, 5,942.59 and 2,582.71 is: 3,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.99 : 5,942.59 = 2,582.71 : x
  2. Step 2: Convert to fraction form
    3,965.99/5,942.59 = 2,582.71/x
  3. Step 3: Cross multiply
    3,965.99x = 5,942.59 × 2,582.71
  4. Step 4: Simplify right side
    3,965.99x = 15,347,965.31
  5. Step 5: Solve for x
    x = 15,347,965.31/3,965.99
  6. Step 6: Final answer
    x = 3,869.90

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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.