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Finding the Fourth Proportional to 3,381.34, 5,071.96 and 1,433.26

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Solution

The fourth proportional to 3,381.34, 5,071.96 and 1,433.26 is: 2,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.34 : 5,071.96 = 1,433.26 : x
  2. Step 2: Convert to fraction form
    3,381.34/5,071.96 = 1,433.26/x
  3. Step 3: Cross multiply
    3,381.34x = 5,071.96 × 1,433.26
  4. Step 4: Simplify right side
    3,381.34x = 7,269,437.39
  5. Step 5: Solve for x
    x = 7,269,437.39/3,381.34
  6. Step 6: Final answer
    x = 2,149.87

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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.