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Finding the Fourth Proportional to 3,826.59, 5,746.16 and 2,585.14

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Solution

The fourth proportional to 3,826.59, 5,746.16 and 2,585.14 is: 3,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.59 : 5,746.16 = 2,585.14 : x
  2. Step 2: Convert to fraction form
    3,826.59/5,746.16 = 2,585.14/x
  3. Step 3: Cross multiply
    3,826.59x = 5,746.16 × 2,585.14
  4. Step 4: Simplify right side
    3,826.59x = 14,854,637.94
  5. Step 5: Solve for x
    x = 14,854,637.94/3,826.59
  6. Step 6: Final answer
    x = 3,881.95

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