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Finding the Fourth Proportional to 4,142.94, 5,715.39 and 2,463.43

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Solution

The fourth proportional to 4,142.94, 5,715.39 and 2,463.43 is: 3,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.94 : 5,715.39 = 2,463.43 : x
  2. Step 2: Convert to fraction form
    4,142.94/5,715.39 = 2,463.43/x
  3. Step 3: Cross multiply
    4,142.94x = 5,715.39 × 2,463.43
  4. Step 4: Simplify right side
    4,142.94x = 14,079,463.19
  5. Step 5: Solve for x
    x = 14,079,463.19/4,142.94
  6. Step 6: Final answer
    x = 3,398.42

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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.