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Finding the Fourth Proportional to 3,682.98, 5,524.45 and 1,493.25

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Solution

The fourth proportional to 3,682.98, 5,524.45 and 1,493.25 is: 2,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.98 : 5,524.45 = 1,493.25 : x
  2. Step 2: Convert to fraction form
    3,682.98/5,524.45 = 1,493.25/x
  3. Step 3: Cross multiply
    3,682.98x = 5,524.45 × 1,493.25
  4. Step 4: Simplify right side
    3,682.98x = 8,249,384.96
  5. Step 5: Solve for x
    x = 8,249,384.96/3,682.98
  6. Step 6: Final answer
    x = 2,239.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.