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Finding the Fourth Proportional to 3,897.12, 5,845.68 and 1,588.80

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Solution

The fourth proportional to 3,897.12, 5,845.68 and 1,588.80 is: 2,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.12 : 5,845.68 = 1,588.80 : x
  2. Step 2: Convert to fraction form
    3,897.12/5,845.68 = 1,588.80/x
  3. Step 3: Cross multiply
    3,897.12x = 5,845.68 × 1,588.80
  4. Step 4: Simplify right side
    3,897.12x = 9,287,616.38
  5. Step 5: Solve for x
    x = 9,287,616.38/3,897.12
  6. Step 6: Final answer
    x = 2,383.20

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