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Finding the Fourth Proportional to 5,494.84, 8,236.79 and 2,723.50

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Solution

The fourth proportional to 5,494.84, 8,236.79 and 2,723.50 is: 4,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.84 : 8,236.79 = 2,723.50 : x
  2. Step 2: Convert to fraction form
    5,494.84/8,236.79 = 2,723.50/x
  3. Step 3: Cross multiply
    5,494.84x = 8,236.79 × 2,723.50
  4. Step 4: Simplify right side
    5,494.84x = 22,432,881.29
  5. Step 5: Solve for x
    x = 22,432,881.29/5,494.84
  6. Step 6: Final answer
    x = 4,082.54

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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.