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Finding the Fourth Proportional to 3,876.05, 5,349.72 and 2,303.84

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Solution

The fourth proportional to 3,876.05, 5,349.72 and 2,303.84 is: 3,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.05 : 5,349.72 = 2,303.84 : x
  2. Step 2: Convert to fraction form
    3,876.05/5,349.72 = 2,303.84/x
  3. Step 3: Cross multiply
    3,876.05x = 5,349.72 × 2,303.84
  4. Step 4: Simplify right side
    3,876.05x = 12,324,898.92
  5. Step 5: Solve for x
    x = 12,324,898.92/3,876.05
  6. Step 6: Final answer
    x = 3,179.76

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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.