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Finding the Fourth Proportional to 3,682.99, 5,524.50 and 3,032.96

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Solution

The fourth proportional to 3,682.99, 5,524.50 and 3,032.96 is: 4,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.99 : 5,524.50 = 3,032.96 : x
  2. Step 2: Convert to fraction form
    3,682.99/5,524.50 = 3,032.96/x
  3. Step 3: Cross multiply
    3,682.99x = 5,524.50 × 3,032.96
  4. Step 4: Simplify right side
    3,682.99x = 16,755,544.73
  5. Step 5: Solve for x
    x = 16,755,544.73/3,682.99
  6. Step 6: Final answer
    x = 4,549.44

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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.