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Finding the Fourth Proportional to 3,397.98, 5,096.97 and 933.06

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Solution

The fourth proportional to 3,397.98, 5,096.97 and 933.06 is: 1,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.98 : 5,096.97 = 933.06 : x
  2. Step 2: Convert to fraction form
    3,397.98/5,096.97 = 933.06/x
  3. Step 3: Cross multiply
    3,397.98x = 5,096.97 × 933.06
  4. Step 4: Simplify right side
    3,397.98x = 4,755,778.83
  5. Step 5: Solve for x
    x = 4,755,778.83/3,397.98
  6. Step 6: Final answer
    x = 1,399.59

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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.