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Finding the Fourth Proportional to 3,874.68, 5,810.61 and 2,120.98

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Solution

The fourth proportional to 3,874.68, 5,810.61 and 2,120.98 is: 3,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.68 : 5,810.61 = 2,120.98 : x
  2. Step 2: Convert to fraction form
    3,874.68/5,810.61 = 2,120.98/x
  3. Step 3: Cross multiply
    3,874.68x = 5,810.61 × 2,120.98
  4. Step 4: Simplify right side
    3,874.68x = 12,324,178.37
  5. Step 5: Solve for x
    x = 12,324,178.37/3,874.68
  6. Step 6: Final answer
    x = 3,180.70

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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.