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Finding the Fourth Proportional to 5,307.69, 7,961.62 and 2,020.97

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Solution

The fourth proportional to 5,307.69, 7,961.62 and 2,020.97 is: 3,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.69 : 7,961.62 = 2,020.97 : x
  2. Step 2: Convert to fraction form
    5,307.69/7,961.62 = 2,020.97/x
  3. Step 3: Cross multiply
    5,307.69x = 7,961.62 × 2,020.97
  4. Step 4: Simplify right side
    5,307.69x = 16,090,170.21
  5. Step 5: Solve for x
    x = 16,090,170.21/5,307.69
  6. Step 6: Final answer
    x = 3,031.48

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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.