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Finding the Fourth Proportional to 3,429.96, 5,138.46 and 1,693.32

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Solution

The fourth proportional to 3,429.96, 5,138.46 and 1,693.32 is: 2,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.96 : 5,138.46 = 1,693.32 : x
  2. Step 2: Convert to fraction form
    3,429.96/5,138.46 = 1,693.32/x
  3. Step 3: Cross multiply
    3,429.96x = 5,138.46 × 1,693.32
  4. Step 4: Simplify right side
    3,429.96x = 8,701,057.09
  5. Step 5: Solve for x
    x = 8,701,057.09/3,429.96
  6. Step 6: Final answer
    x = 2,536.78

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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.