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Finding the Fourth Proportional to 5,309.96, 7,966.22 and 2,232.20

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Solution

The fourth proportional to 5,309.96, 7,966.22 and 2,232.20 is: 3,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.96 : 7,966.22 = 2,232.20 : x
  2. Step 2: Convert to fraction form
    5,309.96/7,966.22 = 2,232.20/x
  3. Step 3: Cross multiply
    5,309.96x = 7,966.22 × 2,232.20
  4. Step 4: Simplify right side
    5,309.96x = 17,782,196.28
  5. Step 5: Solve for x
    x = 17,782,196.28/5,309.96
  6. Step 6: Final answer
    x = 3,348.84

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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.