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Finding the Fourth Proportional to 3,475.98, 5,213.99 and 1,010.82

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Solution

The fourth proportional to 3,475.98, 5,213.99 and 1,010.82 is: 1,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.98 : 5,213.99 = 1,010.82 : x
  2. Step 2: Convert to fraction form
    3,475.98/5,213.99 = 1,010.82/x
  3. Step 3: Cross multiply
    3,475.98x = 5,213.99 × 1,010.82
  4. Step 4: Simplify right side
    3,475.98x = 5,270,379.30
  5. Step 5: Solve for x
    x = 5,270,379.30/3,475.98
  6. Step 6: Final answer
    x = 1,516.23

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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.