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Finding the Fourth Proportional to 3,813.54, 5,229.08 and 3,439.02

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Solution

The fourth proportional to 3,813.54, 5,229.08 and 3,439.02 is: 4,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.54 : 5,229.08 = 3,439.02 : x
  2. Step 2: Convert to fraction form
    3,813.54/5,229.08 = 3,439.02/x
  3. Step 3: Cross multiply
    3,813.54x = 5,229.08 × 3,439.02
  4. Step 4: Simplify right side
    3,813.54x = 17,982,893.51
  5. Step 5: Solve for x
    x = 17,982,893.51/3,813.54
  6. Step 6: Final answer
    x = 4,715.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.