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Finding the Fourth Proportional to 5,941.95, 8,200.17 and 3,424.43

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Solution

The fourth proportional to 5,941.95, 8,200.17 and 3,424.43 is: 4,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.95 : 8,200.17 = 3,424.43 : x
  2. Step 2: Convert to fraction form
    5,941.95/8,200.17 = 3,424.43/x
  3. Step 3: Cross multiply
    5,941.95x = 8,200.17 × 3,424.43
  4. Step 4: Simplify right side
    5,941.95x = 28,080,908.15
  5. Step 5: Solve for x
    x = 28,080,908.15/5,941.95
  6. Step 6: Final answer
    x = 4,725.87

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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.