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Finding the Fourth Proportional to 3,855.75, 5,320.94 and 2,199.75

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Solution

The fourth proportional to 3,855.75, 5,320.94 and 2,199.75 is: 3,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.75 : 5,320.94 = 2,199.75 : x
  2. Step 2: Convert to fraction form
    3,855.75/5,320.94 = 2,199.75/x
  3. Step 3: Cross multiply
    3,855.75x = 5,320.94 × 2,199.75
  4. Step 4: Simplify right side
    3,855.75x = 11,704,737.77
  5. Step 5: Solve for x
    x = 11,704,737.77/3,855.75
  6. Step 6: Final answer
    x = 3,035.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.