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Finding the Fourth Proportional to 4,613.22, 6,922.26 and 2,147.40

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Solution

The fourth proportional to 4,613.22, 6,922.26 and 2,147.40 is: 3,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.22 : 6,922.26 = 2,147.40 : x
  2. Step 2: Convert to fraction form
    4,613.22/6,922.26 = 2,147.40/x
  3. Step 3: Cross multiply
    4,613.22x = 6,922.26 × 2,147.40
  4. Step 4: Simplify right side
    4,613.22x = 14,864,861.12
  5. Step 5: Solve for x
    x = 14,864,861.12/4,613.22
  6. Step 6: Final answer
    x = 3,222.23

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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.