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Finding the Fourth Proportional to 6,188.81, 8,538.21 and 3,798.02

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Solution

The fourth proportional to 6,188.81, 8,538.21 and 3,798.02 is: 5,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.81 : 8,538.21 = 3,798.02 : x
  2. Step 2: Convert to fraction form
    6,188.81/8,538.21 = 3,798.02/x
  3. Step 3: Cross multiply
    6,188.81x = 8,538.21 × 3,798.02
  4. Step 4: Simplify right side
    6,188.81x = 32,428,313.69
  5. Step 5: Solve for x
    x = 32,428,313.69/6,188.81
  6. Step 6: Final answer
    x = 5,239.83

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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.