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Finding the Fourth Proportional to 3,424.58, 5,138.76 and 1,693.34

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Solution

The fourth proportional to 3,424.58, 5,138.76 and 1,693.34 is: 2,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.58 : 5,138.76 = 1,693.34 : x
  2. Step 2: Convert to fraction form
    3,424.58/5,138.76 = 1,693.34/x
  3. Step 3: Cross multiply
    3,424.58x = 5,138.76 × 1,693.34
  4. Step 4: Simplify right side
    3,424.58x = 8,701,667.86
  5. Step 5: Solve for x
    x = 8,701,667.86/3,424.58
  6. Step 6: Final answer
    x = 2,540.94

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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.