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Finding the Fourth Proportional to 4,771.46, 6,582.41 and 2,882.28

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Solution

The fourth proportional to 4,771.46, 6,582.41 and 2,882.28 is: 3,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.46 : 6,582.41 = 2,882.28 : x
  2. Step 2: Convert to fraction form
    4,771.46/6,582.41 = 2,882.28/x
  3. Step 3: Cross multiply
    4,771.46x = 6,582.41 × 2,882.28
  4. Step 4: Simplify right side
    4,771.46x = 18,972,385.99
  5. Step 5: Solve for x
    x = 18,972,385.99/4,771.46
  6. Step 6: Final answer
    x = 3,976.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.