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Finding the Fourth Proportional to 3,664.32, 5,496.84 and 1,584.96

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Solution

The fourth proportional to 3,664.32, 5,496.84 and 1,584.96 is: 2,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.32 : 5,496.84 = 1,584.96 : x
  2. Step 2: Convert to fraction form
    3,664.32/5,496.84 = 1,584.96/x
  3. Step 3: Cross multiply
    3,664.32x = 5,496.84 × 1,584.96
  4. Step 4: Simplify right side
    3,664.32x = 8,712,271.53
  5. Step 5: Solve for x
    x = 8,712,271.53/3,664.32
  6. Step 6: Final answer
    x = 2,377.60

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