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Finding the Fourth Proportional to 5,215.78, 7,823.40 and 1,320.22

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Solution

The fourth proportional to 5,215.78, 7,823.40 and 1,320.22 is: 1,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.78 : 7,823.40 = 1,320.22 : x
  2. Step 2: Convert to fraction form
    5,215.78/7,823.40 = 1,320.22/x
  3. Step 3: Cross multiply
    5,215.78x = 7,823.40 × 1,320.22
  4. Step 4: Simplify right side
    5,215.78x = 10,328,609.15
  5. Step 5: Solve for x
    x = 10,328,609.15/5,215.78
  6. Step 6: Final answer
    x = 1,980.26

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