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Finding the Fourth Proportional to 3,906.38, 5,860.38 and 1,597.88

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Solution

The fourth proportional to 3,906.38, 5,860.38 and 1,597.88 is: 2,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.38 : 5,860.38 = 1,597.88 : x
  2. Step 2: Convert to fraction form
    3,906.38/5,860.38 = 1,597.88/x
  3. Step 3: Cross multiply
    3,906.38x = 5,860.38 × 1,597.88
  4. Step 4: Simplify right side
    3,906.38x = 9,364,154.69
  5. Step 5: Solve for x
    x = 9,364,154.69/3,906.38
  6. Step 6: Final answer
    x = 2,397.15

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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.