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Finding the Fourth Proportional to 5,748.20, 8,622.35 and 3,149.72

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Solution

The fourth proportional to 5,748.20, 8,622.35 and 3,149.72 is: 4,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.20 : 8,622.35 = 3,149.72 : x
  2. Step 2: Convert to fraction form
    5,748.20/8,622.35 = 3,149.72/x
  3. Step 3: Cross multiply
    5,748.20x = 8,622.35 × 3,149.72
  4. Step 4: Simplify right side
    5,748.20x = 27,157,988.24
  5. Step 5: Solve for x
    x = 27,157,988.24/5,748.20
  6. Step 6: Final answer
    x = 4,724.61

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