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Finding the Fourth Proportional to 6,189.98, 8,543.84 and 3,830.81

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Solution

The fourth proportional to 6,189.98, 8,543.84 and 3,830.81 is: 5,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.98 : 8,543.84 = 3,830.81 : x
  2. Step 2: Convert to fraction form
    6,189.98/8,543.84 = 3,830.81/x
  3. Step 3: Cross multiply
    6,189.98x = 8,543.84 × 3,830.81
  4. Step 4: Simplify right side
    6,189.98x = 32,729,765.84
  5. Step 5: Solve for x
    x = 32,729,765.84/6,189.98
  6. Step 6: Final answer
    x = 5,287.54

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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.