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Finding the Fourth Proportional to 6,136.70, 8,468.64 and 3,342.20

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Solution

The fourth proportional to 6,136.70, 8,468.64 and 3,342.20 is: 4,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.70 : 8,468.64 = 3,342.20 : x
  2. Step 2: Convert to fraction form
    6,136.70/8,468.64 = 3,342.20/x
  3. Step 3: Cross multiply
    6,136.70x = 8,468.64 × 3,342.20
  4. Step 4: Simplify right side
    6,136.70x = 28,303,898.44
  5. Step 5: Solve for x
    x = 28,303,898.44/6,136.70
  6. Step 6: Final answer
    x = 4,612.23

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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.