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Finding the Fourth Proportional to 4,872.61, 7,309.68 and 1,584.94

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Solution

The fourth proportional to 4,872.61, 7,309.68 and 1,584.94 is: 2,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.61 : 7,309.68 = 1,584.94 : x
  2. Step 2: Convert to fraction form
    4,872.61/7,309.68 = 1,584.94/x
  3. Step 3: Cross multiply
    4,872.61x = 7,309.68 × 1,584.94
  4. Step 4: Simplify right side
    4,872.61x = 11,585,371.63
  5. Step 5: Solve for x
    x = 11,585,371.63/4,872.61
  6. Step 6: Final answer
    x = 2,377.65

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