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Finding the Fourth Proportional to 3,682.40, 5,520.49 and 1,492.66

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Solution

The fourth proportional to 3,682.40, 5,520.49 and 1,492.66 is: 2,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.40 : 5,520.49 = 1,492.66 : x
  2. Step 2: Convert to fraction form
    3,682.40/5,520.49 = 1,492.66/x
  3. Step 3: Cross multiply
    3,682.40x = 5,520.49 × 1,492.66
  4. Step 4: Simplify right side
    3,682.40x = 8,240,217.77
  5. Step 5: Solve for x
    x = 8,240,217.77/3,682.40
  6. Step 6: Final answer
    x = 2,237.73

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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.