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Finding the Fourth Proportional to 5,215.86, 7,824.60 and 2,442.78

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Solution

The fourth proportional to 5,215.86, 7,824.60 and 2,442.78 is: 3,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.86 : 7,824.60 = 2,442.78 : x
  2. Step 2: Convert to fraction form
    5,215.86/7,824.60 = 2,442.78/x
  3. Step 3: Cross multiply
    5,215.86x = 7,824.60 × 2,442.78
  4. Step 4: Simplify right side
    5,215.86x = 19,113,776.39
  5. Step 5: Solve for x
    x = 19,113,776.39/5,215.86
  6. Step 6: Final answer
    x = 3,664.55

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