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Finding the Fourth Proportional to 4,424.86, 6,102.83 and 2,745.32

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Solution

The fourth proportional to 4,424.86, 6,102.83 and 2,745.32 is: 3,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424.86 : 6,102.83 = 2,745.32 : x
  2. Step 2: Convert to fraction form
    4,424.86/6,102.83 = 2,745.32/x
  3. Step 3: Cross multiply
    4,424.86x = 6,102.83 × 2,745.32
  4. Step 4: Simplify right side
    4,424.86x = 16,754,207.53
  5. Step 5: Solve for x
    x = 16,754,207.53/4,424.86
  6. Step 6: Final answer
    x = 3,786.39

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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.