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Finding the Fourth Proportional to 4,136.78, 5,706.15 and 2,456.99

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Solution

The fourth proportional to 4,136.78, 5,706.15 and 2,456.99 is: 3,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.78 : 5,706.15 = 2,456.99 : x
  2. Step 2: Convert to fraction form
    4,136.78/5,706.15 = 2,456.99/x
  3. Step 3: Cross multiply
    4,136.78x = 5,706.15 × 2,456.99
  4. Step 4: Simplify right side
    4,136.78x = 14,019,953.49
  5. Step 5: Solve for x
    x = 14,019,953.49/4,136.78
  6. Step 6: Final answer
    x = 3,389.10

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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.