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Finding the Fourth Proportional to 5,754.97, 7,942.10 and 3,237.20

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Solution

The fourth proportional to 5,754.97, 7,942.10 and 3,237.20 is: 4,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.97 : 7,942.10 = 3,237.20 : x
  2. Step 2: Convert to fraction form
    5,754.97/7,942.10 = 3,237.20/x
  3. Step 3: Cross multiply
    5,754.97x = 7,942.10 × 3,237.20
  4. Step 4: Simplify right side
    5,754.97x = 25,710,166.12
  5. Step 5: Solve for x
    x = 25,710,166.12/5,754.97
  6. Step 6: Final answer
    x = 4,467.47

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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.