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Finding the Fourth Proportional to 3,397, 5,097.05 and 2,013.07

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Solution

The fourth proportional to 3,397, 5,097.05 and 2,013.07 is: 3,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397 : 5,097.05 = 2,013.07 : x
  2. Step 2: Convert to fraction form
    3,397/5,097.05 = 2,013.07/x
  3. Step 3: Cross multiply
    3,397x = 5,097.05 × 2,013.07
  4. Step 4: Simplify right side
    3,397x = 10,260,708.38
  5. Step 5: Solve for x
    x = 10,260,708.38/3,397
  6. Step 6: Final answer
    x = 3,020.52

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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.