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Finding the Fourth Proportional to 3,404.92, 4,697.58 and 2,226.68

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Solution

The fourth proportional to 3,404.92, 4,697.58 and 2,226.68 is: 3,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.92 : 4,697.58 = 2,226.68 : x
  2. Step 2: Convert to fraction form
    3,404.92/4,697.58 = 2,226.68/x
  3. Step 3: Cross multiply
    3,404.92x = 4,697.58 × 2,226.68
  4. Step 4: Simplify right side
    3,404.92x = 10,460,007.43
  5. Step 5: Solve for x
    x = 10,460,007.43/3,404.92
  6. Step 6: Final answer
    x = 3,072.03

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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.