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Finding the Fourth Proportional to 5,295.10, 7,932.06 and 3,185.56

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Solution

The fourth proportional to 5,295.10, 7,932.06 and 3,185.56 is: 4,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.10 : 7,932.06 = 3,185.56 : x
  2. Step 2: Convert to fraction form
    5,295.10/7,932.06 = 3,185.56/x
  3. Step 3: Cross multiply
    5,295.10x = 7,932.06 × 3,185.56
  4. Step 4: Simplify right side
    5,295.10x = 25,268,037.13
  5. Step 5: Solve for x
    x = 25,268,037.13/5,295.10
  6. Step 6: Final answer
    x = 4,771.97

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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.