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Finding the Fourth Proportional to 3,446.55, 5,167.05 and 1,224.15

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Solution

The fourth proportional to 3,446.55, 5,167.05 and 1,224.15 is: 1,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.55 : 5,167.05 = 1,224.15 : x
  2. Step 2: Convert to fraction form
    3,446.55/5,167.05 = 1,224.15/x
  3. Step 3: Cross multiply
    3,446.55x = 5,167.05 × 1,224.15
  4. Step 4: Simplify right side
    3,446.55x = 6,325,244.26
  5. Step 5: Solve for x
    x = 6,325,244.26/3,446.55
  6. Step 6: Final answer
    x = 1,835.24

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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.