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Finding the Fourth Proportional to 3,784.41, 5,677.02 and 1,591.74

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Solution

The fourth proportional to 3,784.41, 5,677.02 and 1,591.74 is: 2,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.41 : 5,677.02 = 1,591.74 : x
  2. Step 2: Convert to fraction form
    3,784.41/5,677.02 = 1,591.74/x
  3. Step 3: Cross multiply
    3,784.41x = 5,677.02 × 1,591.74
  4. Step 4: Simplify right side
    3,784.41x = 9,036,339.81
  5. Step 5: Solve for x
    x = 9,036,339.81/3,784.41
  6. Step 6: Final answer
    x = 2,387.78

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