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Finding the Fourth Proportional to 5,773.82, 7,967.91 and 3,121.22

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Solution

The fourth proportional to 5,773.82, 7,967.91 and 3,121.22 is: 4,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.82 : 7,967.91 = 3,121.22 : x
  2. Step 2: Convert to fraction form
    5,773.82/7,967.91 = 3,121.22/x
  3. Step 3: Cross multiply
    5,773.82x = 7,967.91 × 3,121.22
  4. Step 4: Simplify right side
    5,773.82x = 24,869,600.05
  5. Step 5: Solve for x
    x = 24,869,600.05/5,773.82
  6. Step 6: Final answer
    x = 4,307.30

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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.