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Finding the Fourth Proportional to 3,136.46, 4,705.29 and 945.41

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Solution

The fourth proportional to 3,136.46, 4,705.29 and 945.41 is: 1,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.46 : 4,705.29 = 945.41 : x
  2. Step 2: Convert to fraction form
    3,136.46/4,705.29 = 945.41/x
  3. Step 3: Cross multiply
    3,136.46x = 4,705.29 × 945.41
  4. Step 4: Simplify right side
    3,136.46x = 4,448,404.69
  5. Step 5: Solve for x
    x = 4,448,404.69/3,136.46
  6. Step 6: Final answer
    x = 1,418.29

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