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Finding the Fourth Proportional to 3,400.72, 4,694.16 and 2,613.76

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Solution

The fourth proportional to 3,400.72, 4,694.16 and 2,613.76 is: 3,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.72 : 4,694.16 = 2,613.76 : x
  2. Step 2: Convert to fraction form
    3,400.72/4,694.16 = 2,613.76/x
  3. Step 3: Cross multiply
    3,400.72x = 4,694.16 × 2,613.76
  4. Step 4: Simplify right side
    3,400.72x = 12,269,407.64
  5. Step 5: Solve for x
    x = 12,269,407.64/3,400.72
  6. Step 6: Final answer
    x = 3,607.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.