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Finding the Fourth Proportional to 3,423.71, 4,723.61 and 2,096.03

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Solution

The fourth proportional to 3,423.71, 4,723.61 and 2,096.03 is: 2,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.71 : 4,723.61 = 2,096.03 : x
  2. Step 2: Convert to fraction form
    3,423.71/4,723.61 = 2,096.03/x
  3. Step 3: Cross multiply
    3,423.71x = 4,723.61 × 2,096.03
  4. Step 4: Simplify right side
    3,423.71x = 9,900,794.17
  5. Step 5: Solve for x
    x = 9,900,794.17/3,423.71
  6. Step 6: Final answer
    x = 2,891.84

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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.