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Finding the Fourth Proportional to 3,866.22, 5,793.66 and 2,400.93

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Solution

The fourth proportional to 3,866.22, 5,793.66 and 2,400.93 is: 3,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.22 : 5,793.66 = 2,400.93 : x
  2. Step 2: Convert to fraction form
    3,866.22/5,793.66 = 2,400.93/x
  3. Step 3: Cross multiply
    3,866.22x = 5,793.66 × 2,400.93
  4. Step 4: Simplify right side
    3,866.22x = 13,910,172.10
  5. Step 5: Solve for x
    x = 13,910,172.10/3,866.22
  6. Step 6: Final answer
    x = 3,597.87

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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.