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Finding the Fourth Proportional to 3,665.40, 5,497.01 and 1,584.92

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Solution

The fourth proportional to 3,665.40, 5,497.01 and 1,584.92 is: 2,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.40 : 5,497.01 = 1,584.92 : x
  2. Step 2: Convert to fraction form
    3,665.40/5,497.01 = 1,584.92/x
  3. Step 3: Cross multiply
    3,665.40x = 5,497.01 × 1,584.92
  4. Step 4: Simplify right side
    3,665.40x = 8,712,285.68
  5. Step 5: Solve for x
    x = 8,712,285.68/3,665.40
  6. Step 6: Final answer
    x = 2,376.90

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