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Finding the Fourth Proportional to 5,207.31, 7,810.67 and 1,920.12

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Solution

The fourth proportional to 5,207.31, 7,810.67 and 1,920.12 is: 2,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.31 : 7,810.67 = 1,920.12 : x
  2. Step 2: Convert to fraction form
    5,207.31/7,810.67 = 1,920.12/x
  3. Step 3: Cross multiply
    5,207.31x = 7,810.67 × 1,920.12
  4. Step 4: Simplify right side
    5,207.31x = 14,997,423.68
  5. Step 5: Solve for x
    x = 14,997,423.68/5,207.31
  6. Step 6: Final answer
    x = 2,880.07

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