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Finding the Fourth Proportional to 3,909.56, 5,823.63 and 3,701.80

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Solution

The fourth proportional to 3,909.56, 5,823.63 and 3,701.80 is: 5,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.56 : 5,823.63 = 3,701.80 : x
  2. Step 2: Convert to fraction form
    3,909.56/5,823.63 = 3,701.80/x
  3. Step 3: Cross multiply
    3,909.56x = 5,823.63 × 3,701.80
  4. Step 4: Simplify right side
    3,909.56x = 21,557,887.75
  5. Step 5: Solve for x
    x = 21,557,887.75/3,909.56
  6. Step 6: Final answer
    x = 5,514.14

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