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Finding the Fourth Proportional to 5,928.24, 8,180.42 and 3,800.01

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Solution

The fourth proportional to 5,928.24, 8,180.42 and 3,800.01 is: 5,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.24 : 8,180.42 = 3,800.01 : x
  2. Step 2: Convert to fraction form
    5,928.24/8,180.42 = 3,800.01/x
  3. Step 3: Cross multiply
    5,928.24x = 8,180.42 × 3,800.01
  4. Step 4: Simplify right side
    5,928.24x = 31,085,658.80
  5. Step 5: Solve for x
    x = 31,085,658.80/5,928.24
  6. Step 6: Final answer
    x = 5,243.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.