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Finding the Fourth Proportional to 6,338.25, 8,747.19 and 3,543.75

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Solution

The fourth proportional to 6,338.25, 8,747.19 and 3,543.75 is: 4,890.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.25 : 8,747.19 = 3,543.75 : x
  2. Step 2: Convert to fraction form
    6,338.25/8,747.19 = 3,543.75/x
  3. Step 3: Cross multiply
    6,338.25x = 8,747.19 × 3,543.75
  4. Step 4: Simplify right side
    6,338.25x = 30,997,854.56
  5. Step 5: Solve for x
    x = 30,997,854.56/6,338.25
  6. Step 6: Final answer
    x = 4,890.60

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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.