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Finding the Fourth Proportional to 5,718.97, 7,891.51 and 3,201.22

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Solution

The fourth proportional to 5,718.97, 7,891.51 and 3,201.22 is: 4,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.97 : 7,891.51 = 3,201.22 : x
  2. Step 2: Convert to fraction form
    5,718.97/7,891.51 = 3,201.22/x
  3. Step 3: Cross multiply
    5,718.97x = 7,891.51 × 3,201.22
  4. Step 4: Simplify right side
    5,718.97x = 25,262,404.18
  5. Step 5: Solve for x
    x = 25,262,404.18/5,718.97
  6. Step 6: Final answer
    x = 4,417.30

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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.