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Finding the Fourth Proportional to 3,898, 5,847.64 and 1,301.56

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Solution

The fourth proportional to 3,898, 5,847.64 and 1,301.56 is: 1,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898 : 5,847.64 = 1,301.56 : x
  2. Step 2: Convert to fraction form
    3,898/5,847.64 = 1,301.56/x
  3. Step 3: Cross multiply
    3,898x = 5,847.64 × 1,301.56
  4. Step 4: Simplify right side
    3,898x = 7,611,054.32
  5. Step 5: Solve for x
    x = 7,611,054.32/3,898
  6. Step 6: Final answer
    x = 1,952.55

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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.