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Finding the Fourth Proportional to 3,353.46, 4,627.76 and 1,861.39

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Solution

The fourth proportional to 3,353.46, 4,627.76 and 1,861.39 is: 2,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.46 : 4,627.76 = 1,861.39 : x
  2. Step 2: Convert to fraction form
    3,353.46/4,627.76 = 1,861.39/x
  3. Step 3: Cross multiply
    3,353.46x = 4,627.76 × 1,861.39
  4. Step 4: Simplify right side
    3,353.46x = 8,614,066.19
  5. Step 5: Solve for x
    x = 8,614,066.19/3,353.46
  6. Step 6: Final answer
    x = 2,568.71

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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.