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Finding the Fourth Proportional to 5,986.08, 8,256.98 and 3,969.50

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Solution

The fourth proportional to 5,986.08, 8,256.98 and 3,969.50 is: 5,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.08 : 8,256.98 = 3,969.50 : x
  2. Step 2: Convert to fraction form
    5,986.08/8,256.98 = 3,969.50/x
  3. Step 3: Cross multiply
    5,986.08x = 8,256.98 × 3,969.50
  4. Step 4: Simplify right side
    5,986.08x = 32,776,020.98
  5. Step 5: Solve for x
    x = 32,776,020.98/5,986.08
  6. Step 6: Final answer
    x = 5,475.37

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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.