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Finding the Fourth Proportional to 5,396.60, 8,093.82 and 1,499.96

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Solution

The fourth proportional to 5,396.60, 8,093.82 and 1,499.96 is: 2,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.60 : 8,093.82 = 1,499.96 : x
  2. Step 2: Convert to fraction form
    5,396.60/8,093.82 = 1,499.96/x
  3. Step 3: Cross multiply
    5,396.60x = 8,093.82 × 1,499.96
  4. Step 4: Simplify right side
    5,396.60x = 12,140,406.25
  5. Step 5: Solve for x
    x = 12,140,406.25/5,396.60
  6. Step 6: Final answer
    x = 2,249.64

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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.