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Finding the Fourth Proportional to 3,457.27, 4,769.31 and 2,277.91

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Solution

The fourth proportional to 3,457.27, 4,769.31 and 2,277.91 is: 3,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.27 : 4,769.31 = 2,277.91 : x
  2. Step 2: Convert to fraction form
    3,457.27/4,769.31 = 2,277.91/x
  3. Step 3: Cross multiply
    3,457.27x = 4,769.31 × 2,277.91
  4. Step 4: Simplify right side
    3,457.27x = 10,864,058.94
  5. Step 5: Solve for x
    x = 10,864,058.94/3,457.27
  6. Step 6: Final answer
    x = 3,142.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.