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Finding the Fourth Proportional to 4,090.90, 6,136.41 and 1,012.90

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Solution

The fourth proportional to 4,090.90, 6,136.41 and 1,012.90 is: 1,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.90 : 6,136.41 = 1,012.90 : x
  2. Step 2: Convert to fraction form
    4,090.90/6,136.41 = 1,012.90/x
  3. Step 3: Cross multiply
    4,090.90x = 6,136.41 × 1,012.90
  4. Step 4: Simplify right side
    4,090.90x = 6,215,569.69
  5. Step 5: Solve for x
    x = 6,215,569.69/4,090.90
  6. Step 6: Final answer
    x = 1,519.36

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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.