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Finding the Fourth Proportional to 3,880.80, 5,822.10 and 1,415.34

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Solution

The fourth proportional to 3,880.80, 5,822.10 and 1,415.34 is: 2,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.80 : 5,822.10 = 1,415.34 : x
  2. Step 2: Convert to fraction form
    3,880.80/5,822.10 = 1,415.34/x
  3. Step 3: Cross multiply
    3,880.80x = 5,822.10 × 1,415.34
  4. Step 4: Simplify right side
    3,880.80x = 8,240,251.01
  5. Step 5: Solve for x
    x = 8,240,251.01/3,880.80
  6. Step 6: Final answer
    x = 2,123.34

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