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Finding the Fourth Proportional to 3,269.78, 4,509.24 and 2,522.56

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Solution

The fourth proportional to 3,269.78, 4,509.24 and 2,522.56 is: 3,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.78 : 4,509.24 = 2,522.56 : x
  2. Step 2: Convert to fraction form
    3,269.78/4,509.24 = 2,522.56/x
  3. Step 3: Cross multiply
    3,269.78x = 4,509.24 × 2,522.56
  4. Step 4: Simplify right side
    3,269.78x = 11,374,828.45
  5. Step 5: Solve for x
    x = 11,374,828.45/3,269.78
  6. Step 6: Final answer
    x = 3,478.77

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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.