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Finding the Fourth Proportional to 3,874.56, 5,337.84 and 2,753.70

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Solution

The fourth proportional to 3,874.56, 5,337.84 and 2,753.70 is: 3,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.56 : 5,337.84 = 2,753.70 : x
  2. Step 2: Convert to fraction form
    3,874.56/5,337.84 = 2,753.70/x
  3. Step 3: Cross multiply
    3,874.56x = 5,337.84 × 2,753.70
  4. Step 4: Simplify right side
    3,874.56x = 14,698,810.01
  5. Step 5: Solve for x
    x = 14,698,810.01/3,874.56
  6. Step 6: Final answer
    x = 3,793.67

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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.