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Finding the Fourth Proportional to 4,096.08, 5,653.08 and 2,772.54

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Solution

The fourth proportional to 4,096.08, 5,653.08 and 2,772.54 is: 3,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.08 : 5,653.08 = 2,772.54 : x
  2. Step 2: Convert to fraction form
    4,096.08/5,653.08 = 2,772.54/x
  3. Step 3: Cross multiply
    4,096.08x = 5,653.08 × 2,772.54
  4. Step 4: Simplify right side
    4,096.08x = 15,673,390.42
  5. Step 5: Solve for x
    x = 15,673,390.42/4,096.08
  6. Step 6: Final answer
    x = 3,826.44

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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.