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Finding the Fourth Proportional to 5,206.30, 7,808.94 and 2,865.53

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Solution

The fourth proportional to 5,206.30, 7,808.94 and 2,865.53 is: 4,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.30 : 7,808.94 = 2,865.53 : x
  2. Step 2: Convert to fraction form
    5,206.30/7,808.94 = 2,865.53/x
  3. Step 3: Cross multiply
    5,206.30x = 7,808.94 × 2,865.53
  4. Step 4: Simplify right side
    5,206.30x = 22,376,771.36
  5. Step 5: Solve for x
    x = 22,376,771.36/5,206.30
  6. Step 6: Final answer
    x = 4,298.02

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