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Finding the Fourth Proportional to 5,313, 7,970.78 and 1,665

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Solution

The fourth proportional to 5,313, 7,970.78 and 1,665 is: 2,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313 : 7,970.78 = 1,665 : x
  2. Step 2: Convert to fraction form
    5,313/7,970.78 = 1,665/x
  3. Step 3: Cross multiply
    5,313x = 7,970.78 × 1,665
  4. Step 4: Simplify right side
    5,313x = 13,271,348.70
  5. Step 5: Solve for x
    x = 13,271,348.70/5,313
  6. Step 6: Final answer
    x = 2,497.90

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