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Finding the Fourth Proportional to 5,978.82, 8,967.77 and 1,596

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Solution

The fourth proportional to 5,978.82, 8,967.77 and 1,596 is: 2,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.82 : 8,967.77 = 1,596 : x
  2. Step 2: Convert to fraction form
    5,978.82/8,967.77 = 1,596/x
  3. Step 3: Cross multiply
    5,978.82x = 8,967.77 × 1,596
  4. Step 4: Simplify right side
    5,978.82x = 14,312,552.94
  5. Step 5: Solve for x
    x = 14,312,552.94/5,978.82
  6. Step 6: Final answer
    x = 2,393.88

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