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Finding the Fourth Proportional to 3,353.46, 4,627.74 and 1,861.38

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Solution

The fourth proportional to 3,353.46, 4,627.74 and 1,861.38 is: 2,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.46 : 4,627.74 = 1,861.38 : x
  2. Step 2: Convert to fraction form
    3,353.46/4,627.74 = 1,861.38/x
  3. Step 3: Cross multiply
    3,353.46x = 4,627.74 × 1,861.38
  4. Step 4: Simplify right side
    3,353.46x = 8,613,982.68
  5. Step 5: Solve for x
    x = 8,613,982.68/3,353.46
  6. Step 6: Final answer
    x = 2,568.69

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Why These Related Problems?

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