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Finding the Fourth Proportional to 3,796.59, 5,695.26 and 1,574.97

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Solution

The fourth proportional to 3,796.59, 5,695.26 and 1,574.97 is: 2,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.59 : 5,695.26 = 1,574.97 : x
  2. Step 2: Convert to fraction form
    3,796.59/5,695.26 = 1,574.97/x
  3. Step 3: Cross multiply
    3,796.59x = 5,695.26 × 1,574.97
  4. Step 4: Simplify right side
    3,796.59x = 8,969,863.64
  5. Step 5: Solve for x
    x = 8,969,863.64/3,796.59
  6. Step 6: Final answer
    x = 2,362.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.