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Finding the Fourth Proportional to 3,787.60, 5,681.40 and 2,742.70

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Solution

The fourth proportional to 3,787.60, 5,681.40 and 2,742.70 is: 4,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.60 : 5,681.40 = 2,742.70 : x
  2. Step 2: Convert to fraction form
    3,787.60/5,681.40 = 2,742.70/x
  3. Step 3: Cross multiply
    3,787.60x = 5,681.40 × 2,742.70
  4. Step 4: Simplify right side
    3,787.60x = 15,582,375.78
  5. Step 5: Solve for x
    x = 15,582,375.78/3,787.60
  6. Step 6: Final answer
    x = 4,114.05

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