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Finding the Fourth Proportional to 5,446.16, 8,167.80 and 1,985.84

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Solution

The fourth proportional to 5,446.16, 8,167.80 and 1,985.84 is: 2,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.16 : 8,167.80 = 1,985.84 : x
  2. Step 2: Convert to fraction form
    5,446.16/8,167.80 = 1,985.84/x
  3. Step 3: Cross multiply
    5,446.16x = 8,167.80 × 1,985.84
  4. Step 4: Simplify right side
    5,446.16x = 16,219,943.95
  5. Step 5: Solve for x
    x = 16,219,943.95/5,446.16
  6. Step 6: Final answer
    x = 2,978.23

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