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Finding the Fourth Proportional to 5,771.97, 7,961.63 and 4,002.93

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Solution

The fourth proportional to 5,771.97, 7,961.63 and 4,002.93 is: 5,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.97 : 7,961.63 = 4,002.93 : x
  2. Step 2: Convert to fraction form
    5,771.97/7,961.63 = 4,002.93/x
  3. Step 3: Cross multiply
    5,771.97x = 7,961.63 × 4,002.93
  4. Step 4: Simplify right side
    5,771.97x = 31,869,827.56
  5. Step 5: Solve for x
    x = 31,869,827.56/5,771.97
  6. Step 6: Final answer
    x = 5,521.48

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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.