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Finding the Fourth Proportional to 5,941.80, 8,199 and 3,289.20

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Solution

The fourth proportional to 5,941.80, 8,199 and 3,289.20 is: 4,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.80 : 8,199 = 3,289.20 : x
  2. Step 2: Convert to fraction form
    5,941.80/8,199 = 3,289.20/x
  3. Step 3: Cross multiply
    5,941.80x = 8,199 × 3,289.20
  4. Step 4: Simplify right side
    5,941.80x = 26,968,150.80
  5. Step 5: Solve for x
    x = 26,968,150.80/5,941.80
  6. Step 6: Final answer
    x = 4,538.72

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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.