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Finding the Fourth Proportional to 3,834.62, 5,746.74 and 1,752.06

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Solution

The fourth proportional to 3,834.62, 5,746.74 and 1,752.06 is: 2,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.62 : 5,746.74 = 1,752.06 : x
  2. Step 2: Convert to fraction form
    3,834.62/5,746.74 = 1,752.06/x
  3. Step 3: Cross multiply
    3,834.62x = 5,746.74 × 1,752.06
  4. Step 4: Simplify right side
    3,834.62x = 10,068,633.28
  5. Step 5: Solve for x
    x = 10,068,633.28/3,834.62
  6. Step 6: Final answer
    x = 2,625.72

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