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Finding the Fourth Proportional to 3,158.62, 4,736.49 and 1,515.94

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Solution

The fourth proportional to 3,158.62, 4,736.49 and 1,515.94 is: 2,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.62 : 4,736.49 = 1,515.94 : x
  2. Step 2: Convert to fraction form
    3,158.62/4,736.49 = 1,515.94/x
  3. Step 3: Cross multiply
    3,158.62x = 4,736.49 × 1,515.94
  4. Step 4: Simplify right side
    3,158.62x = 7,180,234.65
  5. Step 5: Solve for x
    x = 7,180,234.65/3,158.62
  6. Step 6: Final answer
    x = 2,273.22

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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.