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Finding the Fourth Proportional to 3,589.04, 5,384.10 and 1,280

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Solution

The fourth proportional to 3,589.04, 5,384.10 and 1,280 is: 1,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.04 : 5,384.10 = 1,280 : x
  2. Step 2: Convert to fraction form
    3,589.04/5,384.10 = 1,280/x
  3. Step 3: Cross multiply
    3,589.04x = 5,384.10 × 1,280
  4. Step 4: Simplify right side
    3,589.04x = 6,891,648
  5. Step 5: Solve for x
    x = 6,891,648/3,589.04
  6. Step 6: Final answer
    x = 1,920.19

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