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Finding the Fourth Proportional to 3,519, 5,270.70 and 2,282.64

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Solution

The fourth proportional to 3,519, 5,270.70 and 2,282.64 is: 3,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519 : 5,270.70 = 2,282.64 : x
  2. Step 2: Convert to fraction form
    3,519/5,270.70 = 2,282.64/x
  3. Step 3: Cross multiply
    3,519x = 5,270.70 × 2,282.64
  4. Step 4: Simplify right side
    3,519x = 12,031,110.65
  5. Step 5: Solve for x
    x = 12,031,110.65/3,519
  6. Step 6: Final answer
    x = 3,418.90

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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.