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Finding the Fourth Proportional to 3,402.83, 5,102.84 and 1,062.03

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Solution

The fourth proportional to 3,402.83, 5,102.84 and 1,062.03 is: 1,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.83 : 5,102.84 = 1,062.03 : x
  2. Step 2: Convert to fraction form
    3,402.83/5,102.84 = 1,062.03/x
  3. Step 3: Cross multiply
    3,402.83x = 5,102.84 × 1,062.03
  4. Step 4: Simplify right side
    3,402.83x = 5,419,363.86
  5. Step 5: Solve for x
    x = 5,419,363.86/3,402.83
  6. Step 6: Final answer
    x = 1,592.61

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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.