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Finding the Fourth Proportional to 4,096.87, 5,653.57 and 2,304.54

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Solution

The fourth proportional to 4,096.87, 5,653.57 and 2,304.54 is: 3,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.87 : 5,653.57 = 2,304.54 : x
  2. Step 2: Convert to fraction form
    4,096.87/5,653.57 = 2,304.54/x
  3. Step 3: Cross multiply
    4,096.87x = 5,653.57 × 2,304.54
  4. Step 4: Simplify right side
    4,096.87x = 13,028,872.45
  5. Step 5: Solve for x
    x = 13,028,872.45/4,096.87
  6. Step 6: Final answer
    x = 3,180.20

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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.