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Finding the Fourth Proportional to 5,941.72, 8,200.18 and 3,423.92

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Solution

The fourth proportional to 5,941.72, 8,200.18 and 3,423.92 is: 4,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.72 : 8,200.18 = 3,423.92 : x
  2. Step 2: Convert to fraction form
    5,941.72/8,200.18 = 3,423.92/x
  3. Step 3: Cross multiply
    5,941.72x = 8,200.18 × 3,423.92
  4. Step 4: Simplify right side
    5,941.72x = 28,076,760.31
  5. Step 5: Solve for x
    x = 28,076,760.31/5,941.72
  6. Step 6: Final answer
    x = 4,725.36

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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.