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Finding the Fourth Proportional to 5,500, 8,239.74 and 2,723.50

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Solution

The fourth proportional to 5,500, 8,239.74 and 2,723.50 is: 4,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500 : 8,239.74 = 2,723.50 : x
  2. Step 2: Convert to fraction form
    5,500/8,239.74 = 2,723.50/x
  3. Step 3: Cross multiply
    5,500x = 8,239.74 × 2,723.50
  4. Step 4: Simplify right side
    5,500x = 22,440,931.89
  5. Step 5: Solve for x
    x = 22,440,931.89/5,500
  6. Step 6: Final answer
    x = 4,080.17

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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.