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Finding the Fourth Proportional to 3,859.76, 5,773.15 and 3,222.66

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Solution

The fourth proportional to 3,859.76, 5,773.15 and 3,222.66 is: 4,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.76 : 5,773.15 = 3,222.66 : x
  2. Step 2: Convert to fraction form
    3,859.76/5,773.15 = 3,222.66/x
  3. Step 3: Cross multiply
    3,859.76x = 5,773.15 × 3,222.66
  4. Step 4: Simplify right side
    3,859.76x = 18,604,899.58
  5. Step 5: Solve for x
    x = 18,604,899.58/3,859.76
  6. Step 6: Final answer
    x = 4,820.22

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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.