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Finding the Fourth Proportional to 3,589.19, 5,383.36 and 956.90

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Solution

The fourth proportional to 3,589.19, 5,383.36 and 956.90 is: 1,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.19 : 5,383.36 = 956.90 : x
  2. Step 2: Convert to fraction form
    3,589.19/5,383.36 = 956.90/x
  3. Step 3: Cross multiply
    3,589.19x = 5,383.36 × 956.90
  4. Step 4: Simplify right side
    3,589.19x = 5,151,324.25
  5. Step 5: Solve for x
    x = 5,151,324.25/3,589.19
  6. Step 6: Final answer
    x = 1,435.23

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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.