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Finding the Fourth Proportional to 3,764.64, 5,645.36 and 1,541.94

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Solution

The fourth proportional to 3,764.64, 5,645.36 and 1,541.94 is: 2,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.64 : 5,645.36 = 1,541.94 : x
  2. Step 2: Convert to fraction form
    3,764.64/5,645.36 = 1,541.94/x
  3. Step 3: Cross multiply
    3,764.64x = 5,645.36 × 1,541.94
  4. Step 4: Simplify right side
    3,764.64x = 8,704,806.40
  5. Step 5: Solve for x
    x = 8,704,806.40/3,764.64
  6. Step 6: Final answer
    x = 2,312.25

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