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Finding the Fourth Proportional to 5,169.17, 7,746.80 and 2,825.66

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Solution

The fourth proportional to 5,169.17, 7,746.80 and 2,825.66 is: 4,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.17 : 7,746.80 = 2,825.66 : x
  2. Step 2: Convert to fraction form
    5,169.17/7,746.80 = 2,825.66/x
  3. Step 3: Cross multiply
    5,169.17x = 7,746.80 × 2,825.66
  4. Step 4: Simplify right side
    5,169.17x = 21,889,791.22
  5. Step 5: Solve for x
    x = 21,889,791.22/5,169.17
  6. Step 6: Final answer
    x = 4,234.69

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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.