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Finding the Fourth Proportional to 4,446.69, 6,136.11 and 2,457.22

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Solution

The fourth proportional to 4,446.69, 6,136.11 and 2,457.22 is: 3,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.69 : 6,136.11 = 2,457.22 : x
  2. Step 2: Convert to fraction form
    4,446.69/6,136.11 = 2,457.22/x
  3. Step 3: Cross multiply
    4,446.69x = 6,136.11 × 2,457.22
  4. Step 4: Simplify right side
    4,446.69x = 15,077,772.21
  5. Step 5: Solve for x
    x = 15,077,772.21/4,446.69
  6. Step 6: Final answer
    x = 3,390.79

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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.