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Finding the Fourth Proportional to 3,906.41, 5,859.62 and 1,597.91

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Solution

The fourth proportional to 3,906.41, 5,859.62 and 1,597.91 is: 2,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.41 : 5,859.62 = 1,597.91 : x
  2. Step 2: Convert to fraction form
    3,906.41/5,859.62 = 1,597.91/x
  3. Step 3: Cross multiply
    3,906.41x = 5,859.62 × 1,597.91
  4. Step 4: Simplify right side
    3,906.41x = 9,363,145.39
  5. Step 5: Solve for x
    x = 9,363,145.39/3,906.41
  6. Step 6: Final answer
    x = 2,396.87

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1.5x scale

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.