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Finding the Fourth Proportional to 5,697.97, 7,862.49 and 3,180.22

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Solution

The fourth proportional to 5,697.97, 7,862.49 and 3,180.22 is: 4,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.97 : 7,862.49 = 3,180.22 : x
  2. Step 2: Convert to fraction form
    5,697.97/7,862.49 = 3,180.22/x
  3. Step 3: Cross multiply
    5,697.97x = 7,862.49 × 3,180.22
  4. Step 4: Simplify right side
    5,697.97x = 25,004,428.29
  5. Step 5: Solve for x
    x = 25,004,428.29/5,697.97
  6. Step 6: Final answer
    x = 4,388.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.