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Finding the Fourth Proportional to 3,920.16, 5,882.26 and 2,604.84

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Solution

The fourth proportional to 3,920.16, 5,882.26 and 2,604.84 is: 3,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.16 : 5,882.26 = 2,604.84 : x
  2. Step 2: Convert to fraction form
    3,920.16/5,882.26 = 2,604.84/x
  3. Step 3: Cross multiply
    3,920.16x = 5,882.26 × 2,604.84
  4. Step 4: Simplify right side
    3,920.16x = 15,322,346.14
  5. Step 5: Solve for x
    x = 15,322,346.14/3,920.16
  6. Step 6: Final answer
    x = 3,908.60

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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.