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Finding the Fourth Proportional to 3,774.96, 5,664.33 and 1,583.64

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Solution

The fourth proportional to 3,774.96, 5,664.33 and 1,583.64 is: 2,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.96 : 5,664.33 = 1,583.64 : x
  2. Step 2: Convert to fraction form
    3,774.96/5,664.33 = 1,583.64/x
  3. Step 3: Cross multiply
    3,774.96x = 5,664.33 × 1,583.64
  4. Step 4: Simplify right side
    3,774.96x = 8,970,259.56
  5. Step 5: Solve for x
    x = 8,970,259.56/3,774.96
  6. Step 6: Final answer
    x = 2,376.25

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