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Finding the Fourth Proportional to 3,814.08, 5,721.24 and 2,274

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Solution

The fourth proportional to 3,814.08, 5,721.24 and 2,274 is: 3,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.08 : 5,721.24 = 2,274 : x
  2. Step 2: Convert to fraction form
    3,814.08/5,721.24 = 2,274/x
  3. Step 3: Cross multiply
    3,814.08x = 5,721.24 × 2,274
  4. Step 4: Simplify right side
    3,814.08x = 13,010,099.76
  5. Step 5: Solve for x
    x = 13,010,099.76/3,814.08
  6. Step 6: Final answer
    x = 3,411.07

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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.