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Finding the Fourth Proportional to 3,987.52, 5,978.40 and 2,038.24

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Solution

The fourth proportional to 3,987.52, 5,978.40 and 2,038.24 is: 3,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.52 : 5,978.40 = 2,038.24 : x
  2. Step 2: Convert to fraction form
    3,987.52/5,978.40 = 2,038.24/x
  3. Step 3: Cross multiply
    3,987.52x = 5,978.40 × 2,038.24
  4. Step 4: Simplify right side
    3,987.52x = 12,185,414.02
  5. Step 5: Solve for x
    x = 12,185,414.02/3,987.52
  6. Step 6: Final answer
    x = 3,055.89

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