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Finding the Fourth Proportional to 5,771.99, 7,965.21 and 3,381.66

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Solution

The fourth proportional to 5,771.99, 7,965.21 and 3,381.66 is: 4,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.99 : 7,965.21 = 3,381.66 : x
  2. Step 2: Convert to fraction form
    5,771.99/7,965.21 = 3,381.66/x
  3. Step 3: Cross multiply
    5,771.99x = 7,965.21 × 3,381.66
  4. Step 4: Simplify right side
    5,771.99x = 26,935,644.73
  5. Step 5: Solve for x
    x = 26,935,644.73/5,771.99
  6. Step 6: Final answer
    x = 4,666.61

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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.