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Finding the Fourth Proportional to 4,136.49, 6,204.72 and 2,404.17

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Solution

The fourth proportional to 4,136.49, 6,204.72 and 2,404.17 is: 3,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.49 : 6,204.72 = 2,404.17 : x
  2. Step 2: Convert to fraction form
    4,136.49/6,204.72 = 2,404.17/x
  3. Step 3: Cross multiply
    4,136.49x = 6,204.72 × 2,404.17
  4. Step 4: Simplify right side
    4,136.49x = 14,917,201.68
  5. Step 5: Solve for x
    x = 14,917,201.68/4,136.49
  6. Step 6: Final answer
    x = 3,606.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.