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Finding the Fourth Proportional to 3,877.94, 5,351.85 and 2,199.65

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Solution

The fourth proportional to 3,877.94, 5,351.85 and 2,199.65 is: 3,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.94 : 5,351.85 = 2,199.65 : x
  2. Step 2: Convert to fraction form
    3,877.94/5,351.85 = 2,199.65/x
  3. Step 3: Cross multiply
    3,877.94x = 5,351.85 × 2,199.65
  4. Step 4: Simplify right side
    3,877.94x = 11,772,170.09
  5. Step 5: Solve for x
    x = 11,772,170.09/3,877.94
  6. Step 6: Final answer
    x = 3,035.67

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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.