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Finding the Fourth Proportional to 3,446.02, 5,171.33 and 1,224.76

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Solution

The fourth proportional to 3,446.02, 5,171.33 and 1,224.76 is: 1,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.02 : 5,171.33 = 1,224.76 : x
  2. Step 2: Convert to fraction form
    3,446.02/5,171.33 = 1,224.76/x
  3. Step 3: Cross multiply
    3,446.02x = 5,171.33 × 1,224.76
  4. Step 4: Simplify right side
    3,446.02x = 6,333,650.78
  5. Step 5: Solve for x
    x = 6,333,650.78/3,446.02
  6. Step 6: Final answer
    x = 1,837.96

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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.