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Finding the Fourth Proportional to 5,789.81, 8,678.76 and 2,278.40

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Solution

The fourth proportional to 5,789.81, 8,678.76 and 2,278.40 is: 3,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.81 : 8,678.76 = 2,278.40 : x
  2. Step 2: Convert to fraction form
    5,789.81/8,678.76 = 2,278.40/x
  3. Step 3: Cross multiply
    5,789.81x = 8,678.76 × 2,278.40
  4. Step 4: Simplify right side
    5,789.81x = 19,773,634.85
  5. Step 5: Solve for x
    x = 19,773,634.85/5,789.81
  6. Step 6: Final answer
    x = 3,415.25

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