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Finding the Fourth Proportional to 3,906.41, 5,855.01 and 2,056.58

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Solution

The fourth proportional to 3,906.41, 5,855.01 and 2,056.58 is: 3,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.41 : 5,855.01 = 2,056.58 : x
  2. Step 2: Convert to fraction form
    3,906.41/5,855.01 = 2,056.58/x
  3. Step 3: Cross multiply
    3,906.41x = 5,855.01 × 2,056.58
  4. Step 4: Simplify right side
    3,906.41x = 12,041,267.19
  5. Step 5: Solve for x
    x = 12,041,267.19/3,906.41
  6. Step 6: Final answer
    x = 3,082.44

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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.