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Finding the Fourth Proportional to 3,136.36, 4,705.14 and 1,493.68

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Solution

The fourth proportional to 3,136.36, 4,705.14 and 1,493.68 is: 2,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.36 : 4,705.14 = 1,493.68 : x
  2. Step 2: Convert to fraction form
    3,136.36/4,705.14 = 1,493.68/x
  3. Step 3: Cross multiply
    3,136.36x = 4,705.14 × 1,493.68
  4. Step 4: Simplify right side
    3,136.36x = 7,027,973.52
  5. Step 5: Solve for x
    x = 7,027,973.52/3,136.36
  6. Step 6: Final answer
    x = 2,240.81

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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.