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Finding the Fourth Proportional to 3,814.92, 5,251.91 and 3,421.26

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Solution

The fourth proportional to 3,814.92, 5,251.91 and 3,421.26 is: 4,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.92 : 5,251.91 = 3,421.26 : x
  2. Step 2: Convert to fraction form
    3,814.92/5,251.91 = 3,421.26/x
  3. Step 3: Cross multiply
    3,814.92x = 5,251.91 × 3,421.26
  4. Step 4: Simplify right side
    3,814.92x = 17,968,132.50
  5. Step 5: Solve for x
    x = 17,968,132.50/3,814.92
  6. Step 6: Final answer
    x = 4,709.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.