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Finding the Fourth Proportional to 3,861.98, 5,793.30 and 1,088.68

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Solution

The fourth proportional to 3,861.98, 5,793.30 and 1,088.68 is: 1,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.98 : 5,793.30 = 1,088.68 : x
  2. Step 2: Convert to fraction form
    3,861.98/5,793.30 = 1,088.68/x
  3. Step 3: Cross multiply
    3,861.98x = 5,793.30 × 1,088.68
  4. Step 4: Simplify right side
    3,861.98x = 6,307,049.84
  5. Step 5: Solve for x
    x = 6,307,049.84/3,861.98
  6. Step 6: Final answer
    x = 1,633.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.