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Finding the Fourth Proportional to 3,588.62, 5,383.26 and 991.58

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Solution

The fourth proportional to 3,588.62, 5,383.26 and 991.58 is: 1,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.62 : 5,383.26 = 991.58 : x
  2. Step 2: Convert to fraction form
    3,588.62/5,383.26 = 991.58/x
  3. Step 3: Cross multiply
    3,588.62x = 5,383.26 × 991.58
  4. Step 4: Simplify right side
    3,588.62x = 5,337,932.95
  5. Step 5: Solve for x
    x = 5,337,932.95/3,588.62
  6. Step 6: Final answer
    x = 1,487.46

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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.