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Finding the Fourth Proportional to 3,593.14, 5,389.98 and 960.59

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Solution

The fourth proportional to 3,593.14, 5,389.98 and 960.59 is: 1,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.14 : 5,389.98 = 960.59 : x
  2. Step 2: Convert to fraction form
    3,593.14/5,389.98 = 960.59/x
  3. Step 3: Cross multiply
    3,593.14x = 5,389.98 × 960.59
  4. Step 4: Simplify right side
    3,593.14x = 5,177,566.48
  5. Step 5: Solve for x
    x = 5,177,566.48/3,593.14
  6. Step 6: Final answer
    x = 1,440.96

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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.