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Finding the Fourth Proportional to 3,861.96, 5,761.62 and 3,544.80

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Solution

The fourth proportional to 3,861.96, 5,761.62 and 3,544.80 is: 5,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.96 : 5,761.62 = 3,544.80 : x
  2. Step 2: Convert to fraction form
    3,861.96/5,761.62 = 3,544.80/x
  3. Step 3: Cross multiply
    3,861.96x = 5,761.62 × 3,544.80
  4. Step 4: Simplify right side
    3,861.96x = 20,423,790.58
  5. Step 5: Solve for x
    x = 20,423,790.58/3,861.96
  6. Step 6: Final answer
    x = 5,288.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.