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Finding the Fourth Proportional to 6,182.24, 8,530.53 and 3,945.97

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Solution

The fourth proportional to 6,182.24, 8,530.53 and 3,945.97 is: 5,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.24 : 8,530.53 = 3,945.97 : x
  2. Step 2: Convert to fraction form
    6,182.24/8,530.53 = 3,945.97/x
  3. Step 3: Cross multiply
    6,182.24x = 8,530.53 × 3,945.97
  4. Step 4: Simplify right side
    6,182.24x = 33,661,172.81
  5. Step 5: Solve for x
    x = 33,661,172.81/6,182.24
  6. Step 6: Final answer
    x = 5,444.82

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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.