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Finding the Fourth Proportional to 4,096.34, 5,653.11 and 2,328.11

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Solution

The fourth proportional to 4,096.34, 5,653.11 and 2,328.11 is: 3,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.34 : 5,653.11 = 2,328.11 : x
  2. Step 2: Convert to fraction form
    4,096.34/5,653.11 = 2,328.11/x
  3. Step 3: Cross multiply
    4,096.34x = 5,653.11 × 2,328.11
  4. Step 4: Simplify right side
    4,096.34x = 13,161,061.92
  5. Step 5: Solve for x
    x = 13,161,061.92/4,096.34
  6. Step 6: Final answer
    x = 3,212.88

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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.