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Finding the Fourth Proportional to 3,510.43, 5,260.16 and 2,209.16

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Solution

The fourth proportional to 3,510.43, 5,260.16 and 2,209.16 is: 3,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.43 : 5,260.16 = 2,209.16 : x
  2. Step 2: Convert to fraction form
    3,510.43/5,260.16 = 2,209.16/x
  3. Step 3: Cross multiply
    3,510.43x = 5,260.16 × 2,209.16
  4. Step 4: Simplify right side
    3,510.43x = 11,620,553.74
  5. Step 5: Solve for x
    x = 11,620,553.74/3,510.43
  6. Step 6: Final answer
    x = 3,310.30

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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.