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Finding the Fourth Proportional to 3,897.60, 5,848.96 and 1,432.44

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Solution

The fourth proportional to 3,897.60, 5,848.96 and 1,432.44 is: 2,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.60 : 5,848.96 = 1,432.44 : x
  2. Step 2: Convert to fraction form
    3,897.60/5,848.96 = 1,432.44/x
  3. Step 3: Cross multiply
    3,897.60x = 5,848.96 × 1,432.44
  4. Step 4: Simplify right side
    3,897.60x = 8,378,284.26
  5. Step 5: Solve for x
    x = 8,378,284.26/3,897.60
  6. Step 6: Final answer
    x = 2,149.60

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