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Finding the Fourth Proportional to 3,922.57, 5,882.61 and 1,289.46

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Solution

The fourth proportional to 3,922.57, 5,882.61 and 1,289.46 is: 1,933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.57 : 5,882.61 = 1,289.46 : x
  2. Step 2: Convert to fraction form
    3,922.57/5,882.61 = 1,289.46/x
  3. Step 3: Cross multiply
    3,922.57x = 5,882.61 × 1,289.46
  4. Step 4: Simplify right side
    3,922.57x = 7,585,417.19
  5. Step 5: Solve for x
    x = 7,585,417.19/3,922.57
  6. Step 6: Final answer
    x = 1,933.79

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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.