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Finding the Fourth Proportional to 3,883.95, 5,820.46 and 2,124.43

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Solution

The fourth proportional to 3,883.95, 5,820.46 and 2,124.43 is: 3,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.95 : 5,820.46 = 2,124.43 : x
  2. Step 2: Convert to fraction form
    3,883.95/5,820.46 = 2,124.43/x
  3. Step 3: Cross multiply
    3,883.95x = 5,820.46 × 2,124.43
  4. Step 4: Simplify right side
    3,883.95x = 12,365,139.98
  5. Step 5: Solve for x
    x = 12,365,139.98/3,883.95
  6. Step 6: Final answer
    x = 3,183.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.