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Finding the Fourth Proportional to 5,941.95, 8,199.90 and 3,289.76

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Solution

The fourth proportional to 5,941.95, 8,199.90 and 3,289.76 is: 4,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.95 : 8,199.90 = 3,289.76 : x
  2. Step 2: Convert to fraction form
    5,941.95/8,199.90 = 3,289.76/x
  3. Step 3: Cross multiply
    5,941.95x = 8,199.90 × 3,289.76
  4. Step 4: Simplify right side
    5,941.95x = 26,975,662.02
  5. Step 5: Solve for x
    x = 26,975,662.02/5,941.95
  6. Step 6: Final answer
    x = 4,539.87

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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.