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Finding the Fourth Proportional to 5,252.84, 7,874.56 and 1,966.08

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Solution

The fourth proportional to 5,252.84, 7,874.56 and 1,966.08 is: 2,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.84 : 7,874.56 = 1,966.08 : x
  2. Step 2: Convert to fraction form
    5,252.84/7,874.56 = 1,966.08/x
  3. Step 3: Cross multiply
    5,252.84x = 7,874.56 × 1,966.08
  4. Step 4: Simplify right side
    5,252.84x = 15,482,014.92
  5. Step 5: Solve for x
    x = 15,482,014.92/5,252.84
  6. Step 6: Final answer
    x = 2,947.36

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