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Finding the Fourth Proportional to 4,493.86, 6,734.60 and 2,297.99

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Solution

The fourth proportional to 4,493.86, 6,734.60 and 2,297.99 is: 3,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.86 : 6,734.60 = 2,297.99 : x
  2. Step 2: Convert to fraction form
    4,493.86/6,734.60 = 2,297.99/x
  3. Step 3: Cross multiply
    4,493.86x = 6,734.60 × 2,297.99
  4. Step 4: Simplify right side
    4,493.86x = 15,476,043.45
  5. Step 5: Solve for x
    x = 15,476,043.45/4,493.86
  6. Step 6: Final answer
    x = 3,443.82

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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.