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Finding the Fourth Proportional to 4,446.63, 6,136.47 and 2,457.31

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Solution

The fourth proportional to 4,446.63, 6,136.47 and 2,457.31 is: 3,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.63 : 6,136.47 = 2,457.31 : x
  2. Step 2: Convert to fraction form
    4,446.63/6,136.47 = 2,457.31/x
  3. Step 3: Cross multiply
    4,446.63x = 6,136.47 × 2,457.31
  4. Step 4: Simplify right side
    4,446.63x = 15,079,184.54
  5. Step 5: Solve for x
    x = 15,079,184.54/4,446.63
  6. Step 6: Final answer
    x = 3,391.15

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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.