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Finding the Fourth Proportional to 5,296.44, 7,944.97 and 1,599.05

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Solution

The fourth proportional to 5,296.44, 7,944.97 and 1,599.05 is: 2,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.44 : 7,944.97 = 1,599.05 : x
  2. Step 2: Convert to fraction form
    5,296.44/7,944.97 = 1,599.05/x
  3. Step 3: Cross multiply
    5,296.44x = 7,944.97 × 1,599.05
  4. Step 4: Simplify right side
    5,296.44x = 12,704,378.45
  5. Step 5: Solve for x
    x = 12,704,378.45/5,296.44
  6. Step 6: Final answer
    x = 2,398.66

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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.