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Finding the Fourth Proportional to 3,462.69, 4,778.91 and 2,136.78

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Solution

The fourth proportional to 3,462.69, 4,778.91 and 2,136.78 is: 2,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.69 : 4,778.91 = 2,136.78 : x
  2. Step 2: Convert to fraction form
    3,462.69/4,778.91 = 2,136.78/x
  3. Step 3: Cross multiply
    3,462.69x = 4,778.91 × 2,136.78
  4. Step 4: Simplify right side
    3,462.69x = 10,211,479.31
  5. Step 5: Solve for x
    x = 10,211,479.31/3,462.69
  6. Step 6: Final answer
    x = 2,949.00

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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.