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Finding the Fourth Proportional to 5,969.75, 8,237.63 and 3,316.86

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Solution

The fourth proportional to 5,969.75, 8,237.63 and 3,316.86 is: 4,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.75 : 8,237.63 = 3,316.86 : x
  2. Step 2: Convert to fraction form
    5,969.75/8,237.63 = 3,316.86/x
  3. Step 3: Cross multiply
    5,969.75x = 8,237.63 × 3,316.86
  4. Step 4: Simplify right side
    5,969.75x = 27,323,073.73
  5. Step 5: Solve for x
    x = 27,323,073.73/5,969.75
  6. Step 6: Final answer
    x = 4,576.92

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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.