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Finding the Fourth Proportional to 4,096.62, 5,653.71 and 2,328.66

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Solution

The fourth proportional to 4,096.62, 5,653.71 and 2,328.66 is: 3,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.62 : 5,653.71 = 2,328.66 : x
  2. Step 2: Convert to fraction form
    4,096.62/5,653.71 = 2,328.66/x
  3. Step 3: Cross multiply
    4,096.62x = 5,653.71 × 2,328.66
  4. Step 4: Simplify right side
    4,096.62x = 13,165,568.33
  5. Step 5: Solve for x
    x = 13,165,568.33/4,096.62
  6. Step 6: Final answer
    x = 3,213.76

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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.