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Finding the Fourth Proportional to 3,136.68, 4,705.29 and 945.36

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Solution

The fourth proportional to 3,136.68, 4,705.29 and 945.36 is: 1,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.68 : 4,705.29 = 945.36 : x
  2. Step 2: Convert to fraction form
    3,136.68/4,705.29 = 945.36/x
  3. Step 3: Cross multiply
    3,136.68x = 4,705.29 × 945.36
  4. Step 4: Simplify right side
    3,136.68x = 4,448,192.95
  5. Step 5: Solve for x
    x = 4,448,192.95/3,136.68
  6. Step 6: Final answer
    x = 1,418.12

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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.