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Finding the Fourth Proportional to 6,136.52, 8,462.32 and 3,778.20

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Solution

The fourth proportional to 6,136.52, 8,462.32 and 3,778.20 is: 5,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.52 : 8,462.32 = 3,778.20 : x
  2. Step 2: Convert to fraction form
    6,136.52/8,462.32 = 3,778.20/x
  3. Step 3: Cross multiply
    6,136.52x = 8,462.32 × 3,778.20
  4. Step 4: Simplify right side
    6,136.52x = 31,972,327.98
  5. Step 5: Solve for x
    x = 31,972,327.98/6,136.52
  6. Step 6: Final answer
    x = 5,210.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.