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Finding the Fourth Proportional to 5,223.16, 7,834.28 and 1,525.40

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Solution

The fourth proportional to 5,223.16, 7,834.28 and 1,525.40 is: 2,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.16 : 7,834.28 = 1,525.40 : x
  2. Step 2: Convert to fraction form
    5,223.16/7,834.28 = 1,525.40/x
  3. Step 3: Cross multiply
    5,223.16x = 7,834.28 × 1,525.40
  4. Step 4: Simplify right side
    5,223.16x = 11,950,410.71
  5. Step 5: Solve for x
    x = 11,950,410.71/5,223.16
  6. Step 6: Final answer
    x = 2,287.97

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