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Finding the Fourth Proportional to 3,309.75, 4,966.45 and 1,578.38

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Solution

The fourth proportional to 3,309.75, 4,966.45 and 1,578.38 is: 2,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.75 : 4,966.45 = 1,578.38 : x
  2. Step 2: Convert to fraction form
    3,309.75/4,966.45 = 1,578.38/x
  3. Step 3: Cross multiply
    3,309.75x = 4,966.45 × 1,578.38
  4. Step 4: Simplify right side
    3,309.75x = 7,838,916.57
  5. Step 5: Solve for x
    x = 7,838,916.57/3,309.75
  6. Step 6: Final answer
    x = 2,368.43

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