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Finding the Fourth Proportional to 5,540.96, 8,311.37 and 1,381.01

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Solution

The fourth proportional to 5,540.96, 8,311.37 and 1,381.01 is: 2,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.96 : 8,311.37 = 1,381.01 : x
  2. Step 2: Convert to fraction form
    5,540.96/8,311.37 = 1,381.01/x
  3. Step 3: Cross multiply
    5,540.96x = 8,311.37 × 1,381.01
  4. Step 4: Simplify right side
    5,540.96x = 11,478,046.98
  5. Step 5: Solve for x
    x = 11,478,046.98/5,540.96
  6. Step 6: Final answer
    x = 2,071.49

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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.