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Finding the Fourth Proportional to 3,764.98, 5,639.22 and 2,450.66

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Solution

The fourth proportional to 3,764.98, 5,639.22 and 2,450.66 is: 3,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.98 : 5,639.22 = 2,450.66 : x
  2. Step 2: Convert to fraction form
    3,764.98/5,639.22 = 2,450.66/x
  3. Step 3: Cross multiply
    3,764.98x = 5,639.22 × 2,450.66
  4. Step 4: Simplify right side
    3,764.98x = 13,819,782.69
  5. Step 5: Solve for x
    x = 13,819,782.69/3,764.98
  6. Step 6: Final answer
    x = 3,670.61

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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.