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Finding the Fourth Proportional to 6,188.69, 8,536.11 and 3,829.43

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Solution

The fourth proportional to 6,188.69, 8,536.11 and 3,829.43 is: 5,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.69 : 8,536.11 = 3,829.43 : x
  2. Step 2: Convert to fraction form
    6,188.69/8,536.11 = 3,829.43/x
  3. Step 3: Cross multiply
    6,188.69x = 8,536.11 × 3,829.43
  4. Step 4: Simplify right side
    6,188.69x = 32,688,435.72
  5. Step 5: Solve for x
    x = 32,688,435.72/6,188.69
  6. Step 6: Final answer
    x = 5,281.96

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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.