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Finding the Fourth Proportional to 3,136.41, 4,686.21 and 3,027.42

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Solution

The fourth proportional to 3,136.41, 4,686.21 and 3,027.42 is: 4,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.41 : 4,686.21 = 3,027.42 : x
  2. Step 2: Convert to fraction form
    3,136.41/4,686.21 = 3,027.42/x
  3. Step 3: Cross multiply
    3,136.41x = 4,686.21 × 3,027.42
  4. Step 4: Simplify right side
    3,136.41x = 14,187,125.88
  5. Step 5: Solve for x
    x = 14,187,125.88/3,136.41
  6. Step 6: Final answer
    x = 4,523.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.