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Finding the Fourth Proportional to 3,694.98, 5,543.15 and 3,115.42

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Solution

The fourth proportional to 3,694.98, 5,543.15 and 3,115.42 is: 4,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.98 : 5,543.15 = 3,115.42 : x
  2. Step 2: Convert to fraction form
    3,694.98/5,543.15 = 3,115.42/x
  3. Step 3: Cross multiply
    3,694.98x = 5,543.15 × 3,115.42
  4. Step 4: Simplify right side
    3,694.98x = 17,269,240.37
  5. Step 5: Solve for x
    x = 17,269,240.37/3,694.98
  6. Step 6: Final answer
    x = 4,673.70

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1.5x scale

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.