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Finding the Fourth Proportional to 3,875.28, 5,813.52 and 1,277.64

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Solution

The fourth proportional to 3,875.28, 5,813.52 and 1,277.64 is: 1,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.28 : 5,813.52 = 1,277.64 : x
  2. Step 2: Convert to fraction form
    3,875.28/5,813.52 = 1,277.64/x
  3. Step 3: Cross multiply
    3,875.28x = 5,813.52 × 1,277.64
  4. Step 4: Simplify right side
    3,875.28x = 7,427,585.69
  5. Step 5: Solve for x
    x = 7,427,585.69/3,875.28
  6. Step 6: Final answer
    x = 1,916.66

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