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Finding the Fourth Proportional to 5,206.66, 7,806.51 and 2,867.77

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Solution

The fourth proportional to 5,206.66, 7,806.51 and 2,867.77 is: 4,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.66 : 7,806.51 = 2,867.77 : x
  2. Step 2: Convert to fraction form
    5,206.66/7,806.51 = 2,867.77/x
  3. Step 3: Cross multiply
    5,206.66x = 7,806.51 × 2,867.77
  4. Step 4: Simplify right side
    5,206.66x = 22,387,255.67
  5. Step 5: Solve for x
    x = 22,387,255.67/5,206.66
  6. Step 6: Final answer
    x = 4,299.74

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