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Finding the Fourth Proportional to 4,096.71, 5,653.23 and 2,328.18

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Solution

The fourth proportional to 4,096.71, 5,653.23 and 2,328.18 is: 3,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.71 : 5,653.23 = 2,328.18 : x
  2. Step 2: Convert to fraction form
    4,096.71/5,653.23 = 2,328.18/x
  3. Step 3: Cross multiply
    4,096.71x = 5,653.23 × 2,328.18
  4. Step 4: Simplify right side
    4,096.71x = 13,161,737.02
  5. Step 5: Solve for x
    x = 13,161,737.02/4,096.71
  6. Step 6: Final answer
    x = 3,212.76

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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.