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Finding the Fourth Proportional to 3,906.80, 5,860.74 and 1,597.76

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Solution

The fourth proportional to 3,906.80, 5,860.74 and 1,597.76 is: 2,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.80 : 5,860.74 = 1,597.76 : x
  2. Step 2: Convert to fraction form
    3,906.80/5,860.74 = 1,597.76/x
  3. Step 3: Cross multiply
    3,906.80x = 5,860.74 × 1,597.76
  4. Step 4: Simplify right side
    3,906.80x = 9,364,055.94
  5. Step 5: Solve for x
    x = 9,364,055.94/3,906.80
  6. Step 6: Final answer
    x = 2,396.86

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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.