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Finding the Fourth Proportional to 4,251.76, 5,853.06 and 3,504.54

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Solution

The fourth proportional to 4,251.76, 5,853.06 and 3,504.54 is: 4,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.76 : 5,853.06 = 3,504.54 : x
  2. Step 2: Convert to fraction form
    4,251.76/5,853.06 = 3,504.54/x
  3. Step 3: Cross multiply
    4,251.76x = 5,853.06 × 3,504.54
  4. Step 4: Simplify right side
    4,251.76x = 20,512,282.89
  5. Step 5: Solve for x
    x = 20,512,282.89/4,251.76
  6. Step 6: Final answer
    x = 4,824.42

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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.