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Finding the Fourth Proportional to 3,384.50, 5,082.84 and 2,769.38

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Solution

The fourth proportional to 3,384.50, 5,082.84 and 2,769.38 is: 4,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.50 : 5,082.84 = 2,769.38 : x
  2. Step 2: Convert to fraction form
    3,384.50/5,082.84 = 2,769.38/x
  3. Step 3: Cross multiply
    3,384.50x = 5,082.84 × 2,769.38
  4. Step 4: Simplify right side
    3,384.50x = 14,076,315.44
  5. Step 5: Solve for x
    x = 14,076,315.44/3,384.50
  6. Step 6: Final answer
    x = 4,159.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.