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Finding the Fourth Proportional to 4,800.93, 7,202.37 and 2,027.61

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Solution

The fourth proportional to 4,800.93, 7,202.37 and 2,027.61 is: 3,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.93 : 7,202.37 = 2,027.61 : x
  2. Step 2: Convert to fraction form
    4,800.93/7,202.37 = 2,027.61/x
  3. Step 3: Cross multiply
    4,800.93x = 7,202.37 × 2,027.61
  4. Step 4: Simplify right side
    4,800.93x = 14,603,597.44
  5. Step 5: Solve for x
    x = 14,603,597.44/4,800.93
  6. Step 6: Final answer
    x = 3,041.83

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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.