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Finding the Fourth Proportional to 4,553.75, 6,833.77 and 2,994.50

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Solution

The fourth proportional to 4,553.75, 6,833.77 and 2,994.50 is: 4,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.75 : 6,833.77 = 2,994.50 : x
  2. Step 2: Convert to fraction form
    4,553.75/6,833.77 = 2,994.50/x
  3. Step 3: Cross multiply
    4,553.75x = 6,833.77 × 2,994.50
  4. Step 4: Simplify right side
    4,553.75x = 20,463,733.86
  5. Step 5: Solve for x
    x = 20,463,733.86/4,553.75
  6. Step 6: Final answer
    x = 4,493.82

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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.