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Finding the Fourth Proportional to 3,682.89, 5,521.19 and 1,601.30

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Solution

The fourth proportional to 3,682.89, 5,521.19 and 1,601.30 is: 2,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.89 : 5,521.19 = 1,601.30 : x
  2. Step 2: Convert to fraction form
    3,682.89/5,521.19 = 1,601.30/x
  3. Step 3: Cross multiply
    3,682.89x = 5,521.19 × 1,601.30
  4. Step 4: Simplify right side
    3,682.89x = 8,841,045.93
  5. Step 5: Solve for x
    x = 8,841,045.93/3,682.89
  6. Step 6: Final answer
    x = 2,400.57

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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.