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Finding the Fourth Proportional to 5,930.75, 8,188.24 and 3,807.19

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Solution

The fourth proportional to 5,930.75, 8,188.24 and 3,807.19 is: 5,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.75 : 8,188.24 = 3,807.19 : x
  2. Step 2: Convert to fraction form
    5,930.75/8,188.24 = 3,807.19/x
  3. Step 3: Cross multiply
    5,930.75x = 8,188.24 × 3,807.19
  4. Step 4: Simplify right side
    5,930.75x = 31,174,185.45
  5. Step 5: Solve for x
    x = 31,174,185.45/5,930.75
  6. Step 6: Final answer
    x = 5,256.36

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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.