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Finding the Fourth Proportional to 3,371.98, 5,057.95 and 906.59

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Solution

The fourth proportional to 3,371.98, 5,057.95 and 906.59 is: 1,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.98 : 5,057.95 = 906.59 : x
  2. Step 2: Convert to fraction form
    3,371.98/5,057.95 = 906.59/x
  3. Step 3: Cross multiply
    3,371.98x = 5,057.95 × 906.59
  4. Step 4: Simplify right side
    3,371.98x = 4,585,486.89
  5. Step 5: Solve for x
    x = 4,585,486.89/3,371.98
  6. Step 6: Final answer
    x = 1,359.88

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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.