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Finding the Fourth Proportional to 3,398.67, 5,097.07 and 932.90

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Solution

The fourth proportional to 3,398.67, 5,097.07 and 932.90 is: 1,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.67 : 5,097.07 = 932.90 : x
  2. Step 2: Convert to fraction form
    3,398.67/5,097.07 = 932.90/x
  3. Step 3: Cross multiply
    3,398.67x = 5,097.07 × 932.90
  4. Step 4: Simplify right side
    3,398.67x = 4,755,051.94
  5. Step 5: Solve for x
    x = 4,755,051.94/3,398.67
  6. Step 6: Final answer
    x = 1,399.09

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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.