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Finding the Fourth Proportional to 6,188.94, 8,536.45 and 3,829.68

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Solution

The fourth proportional to 6,188.94, 8,536.45 and 3,829.68 is: 5,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.94 : 8,536.45 = 3,829.68 : x
  2. Step 2: Convert to fraction form
    6,188.94/8,536.45 = 3,829.68/x
  3. Step 3: Cross multiply
    6,188.94x = 8,536.45 × 3,829.68
  4. Step 4: Simplify right side
    6,188.94x = 32,691,871.84
  5. Step 5: Solve for x
    x = 32,691,871.84/6,188.94
  6. Step 6: Final answer
    x = 5,282.31

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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.