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Finding the Fourth Proportional to 3,658.96, 5,489.25 and 2,014.66

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Solution

The fourth proportional to 3,658.96, 5,489.25 and 2,014.66 is: 3,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.96 : 5,489.25 = 2,014.66 : x
  2. Step 2: Convert to fraction form
    3,658.96/5,489.25 = 2,014.66/x
  3. Step 3: Cross multiply
    3,658.96x = 5,489.25 × 2,014.66
  4. Step 4: Simplify right side
    3,658.96x = 11,058,972.41
  5. Step 5: Solve for x
    x = 11,058,972.41/3,658.96
  6. Step 6: Final answer
    x = 3,022.44

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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.