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Finding the Fourth Proportional to 3,421.94, 4,719.92 and 2,096.30

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Solution

The fourth proportional to 3,421.94, 4,719.92 and 2,096.30 is: 2,891.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.94 : 4,719.92 = 2,096.30 : x
  2. Step 2: Convert to fraction form
    3,421.94/4,719.92 = 2,096.30/x
  3. Step 3: Cross multiply
    3,421.94x = 4,719.92 × 2,096.30
  4. Step 4: Simplify right side
    3,421.94x = 9,894,334.21
  5. Step 5: Solve for x
    x = 9,894,334.21/3,421.94
  6. Step 6: Final answer
    x = 2,891.44

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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.