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Finding the Fourth Proportional to 5,398.64, 8,092.56 and 4,655.24

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Solution

The fourth proportional to 5,398.64, 8,092.56 and 4,655.24 is: 6,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.64 : 8,092.56 = 4,655.24 : x
  2. Step 2: Convert to fraction form
    5,398.64/8,092.56 = 4,655.24/x
  3. Step 3: Cross multiply
    5,398.64x = 8,092.56 × 4,655.24
  4. Step 4: Simplify right side
    5,398.64x = 37,672,809.01
  5. Step 5: Solve for x
    x = 37,672,809.01/5,398.64
  6. Step 6: Final answer
    x = 6,978.20

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