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Finding the Fourth Proportional to 5,296.87, 7,945.36 and 1,599.13

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Solution

The fourth proportional to 5,296.87, 7,945.36 and 1,599.13 is: 2,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.87 : 7,945.36 = 1,599.13 : x
  2. Step 2: Convert to fraction form
    5,296.87/7,945.36 = 1,599.13/x
  3. Step 3: Cross multiply
    5,296.87x = 7,945.36 × 1,599.13
  4. Step 4: Simplify right side
    5,296.87x = 12,705,663.54
  5. Step 5: Solve for x
    x = 12,705,663.54/5,296.87
  6. Step 6: Final answer
    x = 2,398.71

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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.