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Finding the Fourth Proportional to 4,446.69, 6,136.16 and 2,457.15

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Solution

The fourth proportional to 4,446.69, 6,136.16 and 2,457.15 is: 3,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.69 : 6,136.16 = 2,457.15 : x
  2. Step 2: Convert to fraction form
    4,446.69/6,136.16 = 2,457.15/x
  3. Step 3: Cross multiply
    4,446.69x = 6,136.16 × 2,457.15
  4. Step 4: Simplify right side
    4,446.69x = 15,077,453.26
  5. Step 5: Solve for x
    x = 15,077,453.26/4,446.69
  6. Step 6: Final answer
    x = 3,390.71

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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.