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Finding the Fourth Proportional to 3,381.89, 5,072.83 and 1,434.11

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Solution

The fourth proportional to 3,381.89, 5,072.83 and 1,434.11 is: 2,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.89 : 5,072.83 = 1,434.11 : x
  2. Step 2: Convert to fraction form
    3,381.89/5,072.83 = 1,434.11/x
  3. Step 3: Cross multiply
    3,381.89x = 5,072.83 × 1,434.11
  4. Step 4: Simplify right side
    3,381.89x = 7,274,967.28
  5. Step 5: Solve for x
    x = 7,274,967.28/3,381.89
  6. Step 6: Final answer
    x = 2,151.16

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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.