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Finding the Fourth Proportional to 5,815.31, 8,021.86 and 3,795.86

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Solution

The fourth proportional to 5,815.31, 8,021.86 and 3,795.86 is: 5,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.31 : 8,021.86 = 3,795.86 : x
  2. Step 2: Convert to fraction form
    5,815.31/8,021.86 = 3,795.86/x
  3. Step 3: Cross multiply
    5,815.31x = 8,021.86 × 3,795.86
  4. Step 4: Simplify right side
    5,815.31x = 30,449,868.06
  5. Step 5: Solve for x
    x = 30,449,868.06/5,815.31
  6. Step 6: Final answer
    x = 5,236.16

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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.