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Finding the Fourth Proportional to 3,912.75, 5,834.22 and 3,478.08

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Solution

The fourth proportional to 3,912.75, 5,834.22 and 3,478.08 is: 5,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.75 : 5,834.22 = 3,478.08 : x
  2. Step 2: Convert to fraction form
    3,912.75/5,834.22 = 3,478.08/x
  3. Step 3: Cross multiply
    3,912.75x = 5,834.22 × 3,478.08
  4. Step 4: Simplify right side
    3,912.75x = 20,291,866.51
  5. Step 5: Solve for x
    x = 20,291,866.51/3,912.75
  6. Step 6: Final answer
    x = 5,186.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.