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Finding the Fourth Proportional to 5,222.61, 7,837.10 and 2,261.84

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Solution

The fourth proportional to 5,222.61, 7,837.10 and 2,261.84 is: 3,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.61 : 7,837.10 = 2,261.84 : x
  2. Step 2: Convert to fraction form
    5,222.61/7,837.10 = 2,261.84/x
  3. Step 3: Cross multiply
    5,222.61x = 7,837.10 × 2,261.84
  4. Step 4: Simplify right side
    5,222.61x = 17,726,253.64
  5. Step 5: Solve for x
    x = 17,726,253.64/5,222.61
  6. Step 6: Final answer
    x = 3,394.14

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