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Finding the Fourth Proportional to 5,373.64, 8,052.26 and 4,200.86

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Solution

The fourth proportional to 5,373.64, 8,052.26 and 4,200.86 is: 6,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373.64 : 8,052.26 = 4,200.86 : x
  2. Step 2: Convert to fraction form
    5,373.64/8,052.26 = 4,200.86/x
  3. Step 3: Cross multiply
    5,373.64x = 8,052.26 × 4,200.86
  4. Step 4: Simplify right side
    5,373.64x = 33,826,439.70
  5. Step 5: Solve for x
    x = 33,826,439.70/5,373.64
  6. Step 6: Final answer
    x = 6,294.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.