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Finding the Fourth Proportional to 3,402.16, 5,103.94 and 1,062.07

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Solution

The fourth proportional to 3,402.16, 5,103.94 and 1,062.07 is: 1,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.16 : 5,103.94 = 1,062.07 : x
  2. Step 2: Convert to fraction form
    3,402.16/5,103.94 = 1,062.07/x
  3. Step 3: Cross multiply
    3,402.16x = 5,103.94 × 1,062.07
  4. Step 4: Simplify right side
    3,402.16x = 5,420,761.03
  5. Step 5: Solve for x
    x = 5,420,761.03/3,402.16
  6. Step 6: Final answer
    x = 1,593.33

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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.