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Finding the Fourth Proportional to 5,308.96, 7,964.72 and 2,231.20

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Solution

The fourth proportional to 5,308.96, 7,964.72 and 2,231.20 is: 3,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.96 : 7,964.72 = 2,231.20 : x
  2. Step 2: Convert to fraction form
    5,308.96/7,964.72 = 2,231.20/x
  3. Step 3: Cross multiply
    5,308.96x = 7,964.72 × 2,231.20
  4. Step 4: Simplify right side
    5,308.96x = 17,770,883.26
  5. Step 5: Solve for x
    x = 17,770,883.26/5,308.96
  6. Step 6: Final answer
    x = 3,347.34

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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.