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Finding the Fourth Proportional to 3,400.96, 5,100.84 and 935.18

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Solution

The fourth proportional to 3,400.96, 5,100.84 and 935.18 is: 1,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.96 : 5,100.84 = 935.18 : x
  2. Step 2: Convert to fraction form
    3,400.96/5,100.84 = 935.18/x
  3. Step 3: Cross multiply
    3,400.96x = 5,100.84 × 935.18
  4. Step 4: Simplify right side
    3,400.96x = 4,770,225.87
  5. Step 5: Solve for x
    x = 4,770,225.87/3,400.96
  6. Step 6: Final answer
    x = 1,402.61

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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.