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Finding the Fourth Proportional to 5,765.99, 7,957.14 and 3,496.97

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Solution

The fourth proportional to 5,765.99, 7,957.14 and 3,496.97 is: 4,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.99 : 7,957.14 = 3,496.97 : x
  2. Step 2: Convert to fraction form
    5,765.99/7,957.14 = 3,496.97/x
  3. Step 3: Cross multiply
    5,765.99x = 7,957.14 × 3,496.97
  4. Step 4: Simplify right side
    5,765.99x = 27,825,886.65
  5. Step 5: Solve for x
    x = 27,825,886.65/5,765.99
  6. Step 6: Final answer
    x = 4,825.87

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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.