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Finding the Fourth Proportional to 4,096.58, 5,653.27 and 2,233.58

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Solution

The fourth proportional to 4,096.58, 5,653.27 and 2,233.58 is: 3,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.58 : 5,653.27 = 2,233.58 : x
  2. Step 2: Convert to fraction form
    4,096.58/5,653.27 = 2,233.58/x
  3. Step 3: Cross multiply
    4,096.58x = 5,653.27 × 2,233.58
  4. Step 4: Simplify right side
    4,096.58x = 12,627,039.36
  5. Step 5: Solve for x
    x = 12,627,039.36/4,096.58
  6. Step 6: Final answer
    x = 3,082.33

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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.