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Finding the Fourth Proportional to 3,620.96, 4,997.84 and 2,050

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Solution

The fourth proportional to 3,620.96, 4,997.84 and 2,050 is: 2,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.96 : 4,997.84 = 2,050 : x
  2. Step 2: Convert to fraction form
    3,620.96/4,997.84 = 2,050/x
  3. Step 3: Cross multiply
    3,620.96x = 4,997.84 × 2,050
  4. Step 4: Simplify right side
    3,620.96x = 10,245,572
  5. Step 5: Solve for x
    x = 10,245,572/3,620.96
  6. Step 6: Final answer
    x = 2,829.52

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