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Finding the Fourth Proportional to 4,096.96, 5,653.84 and 2,234.08

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Solution

The fourth proportional to 4,096.96, 5,653.84 and 2,234.08 is: 3,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.96 : 5,653.84 = 2,234.08 : x
  2. Step 2: Convert to fraction form
    4,096.96/5,653.84 = 2,234.08/x
  3. Step 3: Cross multiply
    4,096.96x = 5,653.84 × 2,234.08
  4. Step 4: Simplify right side
    4,096.96x = 12,631,130.87
  5. Step 5: Solve for x
    x = 12,631,130.87/4,096.96
  6. Step 6: Final answer
    x = 3,083.05

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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.