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Finding the Fourth Proportional to 4,534.89, 6,809.76 and 3,063.54

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Solution

The fourth proportional to 4,534.89, 6,809.76 and 3,063.54 is: 4,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.89 : 6,809.76 = 3,063.54 : x
  2. Step 2: Convert to fraction form
    4,534.89/6,809.76 = 3,063.54/x
  3. Step 3: Cross multiply
    4,534.89x = 6,809.76 × 3,063.54
  4. Step 4: Simplify right side
    4,534.89x = 20,861,972.15
  5. Step 5: Solve for x
    x = 20,861,972.15/4,534.89
  6. Step 6: Final answer
    x = 4,600.33

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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.