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Finding the Fourth Proportional to 5,169.38, 7,123.50 and 3,674.70

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Solution

The fourth proportional to 5,169.38, 7,123.50 and 3,674.70 is: 5,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.38 : 7,123.50 = 3,674.70 : x
  2. Step 2: Convert to fraction form
    5,169.38/7,123.50 = 3,674.70/x
  3. Step 3: Cross multiply
    5,169.38x = 7,123.50 × 3,674.70
  4. Step 4: Simplify right side
    5,169.38x = 26,176,725.45
  5. Step 5: Solve for x
    x = 26,176,725.45/5,169.38
  6. Step 6: Final answer
    x = 5,063.81

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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.