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Finding the Fourth Proportional to 3,593.82, 5,390.99 and 961.32

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Solution

The fourth proportional to 3,593.82, 5,390.99 and 961.32 is: 1,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.82 : 5,390.99 = 961.32 : x
  2. Step 2: Convert to fraction form
    3,593.82/5,390.99 = 961.32/x
  3. Step 3: Cross multiply
    3,593.82x = 5,390.99 × 961.32
  4. Step 4: Simplify right side
    3,593.82x = 5,182,461.70
  5. Step 5: Solve for x
    x = 5,182,461.70/3,593.82
  6. Step 6: Final answer
    x = 1,442.05

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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.