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Finding the Fourth Proportional to 3,834.78, 5,752.17 and 1,061.76

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Solution

The fourth proportional to 3,834.78, 5,752.17 and 1,061.76 is: 1,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.78 : 5,752.17 = 1,061.76 : x
  2. Step 2: Convert to fraction form
    3,834.78/5,752.17 = 1,061.76/x
  3. Step 3: Cross multiply
    3,834.78x = 5,752.17 × 1,061.76
  4. Step 4: Simplify right side
    3,834.78x = 6,107,424.02
  5. Step 5: Solve for x
    x = 6,107,424.02/3,834.78
  6. Step 6: Final answer
    x = 1,592.64

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