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Finding the Fourth Proportional to 3,874.52, 5,812.59 and 1,277.66

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Solution

The fourth proportional to 3,874.52, 5,812.59 and 1,277.66 is: 1,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.52 : 5,812.59 = 1,277.66 : x
  2. Step 2: Convert to fraction form
    3,874.52/5,812.59 = 1,277.66/x
  3. Step 3: Cross multiply
    3,874.52x = 5,812.59 × 1,277.66
  4. Step 4: Simplify right side
    3,874.52x = 7,426,484.68
  5. Step 5: Solve for x
    x = 7,426,484.68/3,874.52
  6. Step 6: Final answer
    x = 1,916.75

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