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Finding the Fourth Proportional to 3,859.91, 5,782.12 and 1,777.02

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Solution

The fourth proportional to 3,859.91, 5,782.12 and 1,777.02 is: 2,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.91 : 5,782.12 = 1,777.02 : x
  2. Step 2: Convert to fraction form
    3,859.91/5,782.12 = 1,777.02/x
  3. Step 3: Cross multiply
    3,859.91x = 5,782.12 × 1,777.02
  4. Step 4: Simplify right side
    3,859.91x = 10,274,934.00
  5. Step 5: Solve for x
    x = 10,274,934.00/3,859.91
  6. Step 6: Final answer
    x = 2,661.96

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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.