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Finding the Fourth Proportional to 5,152.12, 7,724.75 and 1,864.78

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Solution

The fourth proportional to 5,152.12, 7,724.75 and 1,864.78 is: 2,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.12 : 7,724.75 = 1,864.78 : x
  2. Step 2: Convert to fraction form
    5,152.12/7,724.75 = 1,864.78/x
  3. Step 3: Cross multiply
    5,152.12x = 7,724.75 × 1,864.78
  4. Step 4: Simplify right side
    5,152.12x = 14,404,959.31
  5. Step 5: Solve for x
    x = 14,404,959.31/5,152.12
  6. Step 6: Final answer
    x = 2,795.93

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