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Finding the Fourth Proportional to 3,764.58, 5,644.69 and 1,424.77

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Solution

The fourth proportional to 3,764.58, 5,644.69 and 1,424.77 is: 2,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.58 : 5,644.69 = 1,424.77 : x
  2. Step 2: Convert to fraction form
    3,764.58/5,644.69 = 1,424.77/x
  3. Step 3: Cross multiply
    3,764.58x = 5,644.69 × 1,424.77
  4. Step 4: Simplify right side
    3,764.58x = 8,042,349.62
  5. Step 5: Solve for x
    x = 8,042,349.62/3,764.58
  6. Step 6: Final answer
    x = 2,136.32

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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.