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Finding the Fourth Proportional to 3,797.25, 5,695.97 and 1,488.75

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Solution

The fourth proportional to 3,797.25, 5,695.97 and 1,488.75 is: 2,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.25 : 5,695.97 = 1,488.75 : x
  2. Step 2: Convert to fraction form
    3,797.25/5,695.97 = 1,488.75/x
  3. Step 3: Cross multiply
    3,797.25x = 5,695.97 × 1,488.75
  4. Step 4: Simplify right side
    3,797.25x = 8,479,867.89
  5. Step 5: Solve for x
    x = 8,479,867.89/3,797.25
  6. Step 6: Final answer
    x = 2,233.16

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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.