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Finding the Fourth Proportional to 6,238.41, 8,610.80 and 3,688.53

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Solution

The fourth proportional to 6,238.41, 8,610.80 and 3,688.53 is: 5,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.41 : 8,610.80 = 3,688.53 : x
  2. Step 2: Convert to fraction form
    6,238.41/8,610.80 = 3,688.53/x
  3. Step 3: Cross multiply
    6,238.41x = 8,610.80 × 3,688.53
  4. Step 4: Simplify right side
    6,238.41x = 31,761,194.12
  5. Step 5: Solve for x
    x = 31,761,194.12/6,238.41
  6. Step 6: Final answer
    x = 5,091.23

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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.