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Finding the Fourth Proportional to 3,871.89, 5,805.78 and 1,531.80

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Solution

The fourth proportional to 3,871.89, 5,805.78 and 1,531.80 is: 2,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.89 : 5,805.78 = 1,531.80 : x
  2. Step 2: Convert to fraction form
    3,871.89/5,805.78 = 1,531.80/x
  3. Step 3: Cross multiply
    3,871.89x = 5,805.78 × 1,531.80
  4. Step 4: Simplify right side
    3,871.89x = 8,893,298.19
  5. Step 5: Solve for x
    x = 8,893,298.19/3,871.89
  6. Step 6: Final answer
    x = 2,296.89

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