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Finding the Fourth Proportional to 3,403.96, 5,105.03 and 938.20

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Solution

The fourth proportional to 3,403.96, 5,105.03 and 938.20 is: 1,407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.96 : 5,105.03 = 938.20 : x
  2. Step 2: Convert to fraction form
    3,403.96/5,105.03 = 938.20/x
  3. Step 3: Cross multiply
    3,403.96x = 5,105.03 × 938.20
  4. Step 4: Simplify right side
    3,403.96x = 4,789,525.21
  5. Step 5: Solve for x
    x = 4,789,525.21/3,403.96
  6. Step 6: Final answer
    x = 1,407.04

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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.