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Finding the Fourth Proportional to 3,859.44, 5,797 and 3,407.46

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Solution

The fourth proportional to 3,859.44, 5,797 and 3,407.46 is: 5,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.44 : 5,797 = 3,407.46 : x
  2. Step 2: Convert to fraction form
    3,859.44/5,797 = 3,407.46/x
  3. Step 3: Cross multiply
    3,859.44x = 5,797 × 3,407.46
  4. Step 4: Simplify right side
    3,859.44x = 19,753,045.62
  5. Step 5: Solve for x
    x = 19,753,045.62/3,859.44
  6. Step 6: Final answer
    x = 5,118.11

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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.