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Finding the Fourth Proportional to 3,906, 5,859.81 and 1,597.50

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Solution

The fourth proportional to 3,906, 5,859.81 and 1,597.50 is: 2,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906 : 5,859.81 = 1,597.50 : x
  2. Step 2: Convert to fraction form
    3,906/5,859.81 = 1,597.50/x
  3. Step 3: Cross multiply
    3,906x = 5,859.81 × 1,597.50
  4. Step 4: Simplify right side
    3,906x = 9,361,046.48
  5. Step 5: Solve for x
    x = 9,361,046.48/3,906
  6. Step 6: Final answer
    x = 2,396.58

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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.