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Finding the Fourth Proportional to 4,096.17, 5,652.63 and 2,233.17

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Solution

The fourth proportional to 4,096.17, 5,652.63 and 2,233.17 is: 3,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.17 : 5,652.63 = 2,233.17 : x
  2. Step 2: Convert to fraction form
    4,096.17/5,652.63 = 2,233.17/x
  3. Step 3: Cross multiply
    4,096.17x = 5,652.63 × 2,233.17
  4. Step 4: Simplify right side
    4,096.17x = 12,623,283.74
  5. Step 5: Solve for x
    x = 12,623,283.74/4,096.17
  6. Step 6: Final answer
    x = 3,081.73

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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.