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Finding the Fourth Proportional to 4,872.32, 7,306.78 and 1,584.80

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Solution

The fourth proportional to 4,872.32, 7,306.78 and 1,584.80 is: 2,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.32 : 7,306.78 = 1,584.80 : x
  2. Step 2: Convert to fraction form
    4,872.32/7,306.78 = 1,584.80/x
  3. Step 3: Cross multiply
    4,872.32x = 7,306.78 × 1,584.80
  4. Step 4: Simplify right side
    4,872.32x = 11,579,784.94
  5. Step 5: Solve for x
    x = 11,579,784.94/4,872.32
  6. Step 6: Final answer
    x = 2,376.65

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