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Finding the Fourth Proportional to 3,882.88, 5,815.68 and 2,150.40

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Solution

The fourth proportional to 3,882.88, 5,815.68 and 2,150.40 is: 3,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.88 : 5,815.68 = 2,150.40 : x
  2. Step 2: Convert to fraction form
    3,882.88/5,815.68 = 2,150.40/x
  3. Step 3: Cross multiply
    3,882.88x = 5,815.68 × 2,150.40
  4. Step 4: Simplify right side
    3,882.88x = 12,506,038.27
  5. Step 5: Solve for x
    x = 12,506,038.27/3,882.88
  6. Step 6: Final answer
    x = 3,220.82

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