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Finding the Fourth Proportional to 3,874.90, 5,809.83 and 2,144.74

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Solution

The fourth proportional to 3,874.90, 5,809.83 and 2,144.74 is: 3,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.90 : 5,809.83 = 2,144.74 : x
  2. Step 2: Convert to fraction form
    3,874.90/5,809.83 = 2,144.74/x
  3. Step 3: Cross multiply
    3,874.90x = 5,809.83 × 2,144.74
  4. Step 4: Simplify right side
    3,874.90x = 12,460,574.79
  5. Step 5: Solve for x
    x = 12,460,574.79/3,874.90
  6. Step 6: Final answer
    x = 3,215.72

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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.