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Finding the Fourth Proportional to 3,897.87, 5,832.91 and 3,122.85

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Solution

The fourth proportional to 3,897.87, 5,832.91 and 3,122.85 is: 4,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.87 : 5,832.91 = 3,122.85 : x
  2. Step 2: Convert to fraction form
    3,897.87/5,832.91 = 3,122.85/x
  3. Step 3: Cross multiply
    3,897.87x = 5,832.91 × 3,122.85
  4. Step 4: Simplify right side
    3,897.87x = 18,215,328.77
  5. Step 5: Solve for x
    x = 18,215,328.77/3,897.87
  6. Step 6: Final answer
    x = 4,673.15

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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.