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Finding the Fourth Proportional to 5,169.13, 7,741.39 and 2,825.64

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Solution

The fourth proportional to 5,169.13, 7,741.39 and 2,825.64 is: 4,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.13 : 7,741.39 = 2,825.64 : x
  2. Step 2: Convert to fraction form
    5,169.13/7,741.39 = 2,825.64/x
  3. Step 3: Cross multiply
    5,169.13x = 7,741.39 × 2,825.64
  4. Step 4: Simplify right side
    5,169.13x = 21,874,381.24
  5. Step 5: Solve for x
    x = 21,874,381.24/5,169.13
  6. Step 6: Final answer
    x = 4,231.73

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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.