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Finding the Fourth Proportional to 3,872, 5,808.72 and 1,820

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Solution

The fourth proportional to 3,872, 5,808.72 and 1,820 is: 2,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872 : 5,808.72 = 1,820 : x
  2. Step 2: Convert to fraction form
    3,872/5,808.72 = 1,820/x
  3. Step 3: Cross multiply
    3,872x = 5,808.72 × 1,820
  4. Step 4: Simplify right side
    3,872x = 10,571,870.40
  5. Step 5: Solve for x
    x = 10,571,870.40/3,872
  6. Step 6: Final answer
    x = 2,730.34

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