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Finding the Fourth Proportional to 3,824.91, 5,278.43 and 2,253

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Solution

The fourth proportional to 3,824.91, 5,278.43 and 2,253 is: 3,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.91 : 5,278.43 = 2,253 : x
  2. Step 2: Convert to fraction form
    3,824.91/5,278.43 = 2,253/x
  3. Step 3: Cross multiply
    3,824.91x = 5,278.43 × 2,253
  4. Step 4: Simplify right side
    3,824.91x = 11,892,302.79
  5. Step 5: Solve for x
    x = 11,892,302.79/3,824.91
  6. Step 6: Final answer
    x = 3,109.17

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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.