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Finding the Fourth Proportional to 5,333.94, 8,000.13 and 3,860.22

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Solution

The fourth proportional to 5,333.94, 8,000.13 and 3,860.22 is: 5,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.94 : 8,000.13 = 3,860.22 : x
  2. Step 2: Convert to fraction form
    5,333.94/8,000.13 = 3,860.22/x
  3. Step 3: Cross multiply
    5,333.94x = 8,000.13 × 3,860.22
  4. Step 4: Simplify right side
    5,333.94x = 30,882,261.83
  5. Step 5: Solve for x
    x = 30,882,261.83/5,333.94
  6. Step 6: Final answer
    x = 5,789.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.