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Finding the Fourth Proportional to 3,663.48, 5,496.90 and 1,584.12

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Solution

The fourth proportional to 3,663.48, 5,496.90 and 1,584.12 is: 2,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.48 : 5,496.90 = 1,584.12 : x
  2. Step 2: Convert to fraction form
    3,663.48/5,496.90 = 1,584.12/x
  3. Step 3: Cross multiply
    3,663.48x = 5,496.90 × 1,584.12
  4. Step 4: Simplify right side
    3,663.48x = 8,707,749.23
  5. Step 5: Solve for x
    x = 8,707,749.23/3,663.48
  6. Step 6: Final answer
    x = 2,376.91

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