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Finding the Fourth Proportional to 5,364, 7,405.62 and 4,249.44

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Solution

The fourth proportional to 5,364, 7,405.62 and 4,249.44 is: 5,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364 : 7,405.62 = 4,249.44 : x
  2. Step 2: Convert to fraction form
    5,364/7,405.62 = 4,249.44/x
  3. Step 3: Cross multiply
    5,364x = 7,405.62 × 4,249.44
  4. Step 4: Simplify right side
    5,364x = 31,469,737.85
  5. Step 5: Solve for x
    x = 31,469,737.85/5,364
  6. Step 6: Final answer
    x = 5,866.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.