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Finding the Fourth Proportional to 3,734, 5,602.22 and 1,136.94

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Solution

The fourth proportional to 3,734, 5,602.22 and 1,136.94 is: 1,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734 : 5,602.22 = 1,136.94 : x
  2. Step 2: Convert to fraction form
    3,734/5,602.22 = 1,136.94/x
  3. Step 3: Cross multiply
    3,734x = 5,602.22 × 1,136.94
  4. Step 4: Simplify right side
    3,734x = 6,369,388.01
  5. Step 5: Solve for x
    x = 6,369,388.01/3,734
  6. Step 6: Final answer
    x = 1,705.78

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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.