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Finding the Fourth Proportional to 3,846.83, 5,312.81 and 3,349.90

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Solution

The fourth proportional to 3,846.83, 5,312.81 and 3,349.90 is: 4,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.83 : 5,312.81 = 3,349.90 : x
  2. Step 2: Convert to fraction form
    3,846.83/5,312.81 = 3,349.90/x
  3. Step 3: Cross multiply
    3,846.83x = 5,312.81 × 3,349.90
  4. Step 4: Simplify right side
    3,846.83x = 17,797,338.91
  5. Step 5: Solve for x
    x = 17,797,338.91/3,846.83
  6. Step 6: Final answer
    x = 4,626.49

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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.