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Finding the Fourth Proportional to 3,784.52, 5,677.70 and 1,187.46

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Solution

The fourth proportional to 3,784.52, 5,677.70 and 1,187.46 is: 1,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.52 : 5,677.70 = 1,187.46 : x
  2. Step 2: Convert to fraction form
    3,784.52/5,677.70 = 1,187.46/x
  3. Step 3: Cross multiply
    3,784.52x = 5,677.70 × 1,187.46
  4. Step 4: Simplify right side
    3,784.52x = 6,742,043.25
  5. Step 5: Solve for x
    x = 6,742,043.25/3,784.52
  6. Step 6: Final answer
    x = 1,781.48

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