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Finding the Fourth Proportional to 5,941.96, 8,200.52 and 3,424.16

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Solution

The fourth proportional to 5,941.96, 8,200.52 and 3,424.16 is: 4,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.96 : 8,200.52 = 3,424.16 : x
  2. Step 2: Convert to fraction form
    5,941.96/8,200.52 = 3,424.16/x
  3. Step 3: Cross multiply
    5,941.96x = 8,200.52 × 3,424.16
  4. Step 4: Simplify right side
    5,941.96x = 28,079,892.56
  5. Step 5: Solve for x
    x = 28,079,892.56/5,941.96
  6. Step 6: Final answer
    x = 4,725.70

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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.