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Finding the Fourth Proportional to 5,330.25, 7,998.26 and 2,594.25

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Solution

The fourth proportional to 5,330.25, 7,998.26 and 2,594.25 is: 3,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.25 : 7,998.26 = 2,594.25 : x
  2. Step 2: Convert to fraction form
    5,330.25/7,998.26 = 2,594.25/x
  3. Step 3: Cross multiply
    5,330.25x = 7,998.26 × 2,594.25
  4. Step 4: Simplify right side
    5,330.25x = 20,749,473.03
  5. Step 5: Solve for x
    x = 20,749,473.03/5,330.25
  6. Step 6: Final answer
    x = 3,892.78

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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.