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Finding the Fourth Proportional to 6,136.39, 8,468.92 and 3,484.28

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Solution

The fourth proportional to 6,136.39, 8,468.92 and 3,484.28 is: 4,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.39 : 8,468.92 = 3,484.28 : x
  2. Step 2: Convert to fraction form
    6,136.39/8,468.92 = 3,484.28/x
  3. Step 3: Cross multiply
    6,136.39x = 8,468.92 × 3,484.28
  4. Step 4: Simplify right side
    6,136.39x = 29,508,114.11
  5. Step 5: Solve for x
    x = 29,508,114.11/6,136.39
  6. Step 6: Final answer
    x = 4,808.71

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Why These Related Problems?

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