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Finding the Fourth Proportional to 5,191.76, 7,164.12 and 2,833.76

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Solution

The fourth proportional to 5,191.76, 7,164.12 and 2,833.76 is: 3,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.76 : 7,164.12 = 2,833.76 : x
  2. Step 2: Convert to fraction form
    5,191.76/7,164.12 = 2,833.76/x
  3. Step 3: Cross multiply
    5,191.76x = 7,164.12 × 2,833.76
  4. Step 4: Simplify right side
    5,191.76x = 20,301,396.69
  5. Step 5: Solve for x
    x = 20,301,396.69/5,191.76
  6. Step 6: Final answer
    x = 3,910.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.