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Finding the Fourth Proportional to 3,795.84, 5,236.56 and 2,223

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Solution

The fourth proportional to 3,795.84, 5,236.56 and 2,223 is: 3,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.84 : 5,236.56 = 2,223 : x
  2. Step 2: Convert to fraction form
    3,795.84/5,236.56 = 2,223/x
  3. Step 3: Cross multiply
    3,795.84x = 5,236.56 × 2,223
  4. Step 4: Simplify right side
    3,795.84x = 11,640,872.88
  5. Step 5: Solve for x
    x = 11,640,872.88/3,795.84
  6. Step 6: Final answer
    x = 3,066.74

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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.