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Finding the Fourth Proportional to 3,209.54, 4,423.05 and 2,213.01

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Solution

The fourth proportional to 3,209.54, 4,423.05 and 2,213.01 is: 3,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.54 : 4,423.05 = 2,213.01 : x
  2. Step 2: Convert to fraction form
    3,209.54/4,423.05 = 2,213.01/x
  3. Step 3: Cross multiply
    3,209.54x = 4,423.05 × 2,213.01
  4. Step 4: Simplify right side
    3,209.54x = 9,788,253.88
  5. Step 5: Solve for x
    x = 9,788,253.88/3,209.54
  6. Step 6: Final answer
    x = 3,049.74

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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.