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Finding the Fourth Proportional to 6,136.80, 8,468.70 and 3,342.30

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Solution

The fourth proportional to 6,136.80, 8,468.70 and 3,342.30 is: 4,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.80 : 8,468.70 = 3,342.30 : x
  2. Step 2: Convert to fraction form
    6,136.80/8,468.70 = 3,342.30/x
  3. Step 3: Cross multiply
    6,136.80x = 8,468.70 × 3,342.30
  4. Step 4: Simplify right side
    6,136.80x = 28,304,936.01
  5. Step 5: Solve for x
    x = 28,304,936.01/6,136.80
  6. Step 6: Final answer
    x = 4,612.33

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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.