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Finding the Fourth Proportional to 3,819.44, 5,274.96 and 2,423

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Solution

The fourth proportional to 3,819.44, 5,274.96 and 2,423 is: 3,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.44 : 5,274.96 = 2,423 : x
  2. Step 2: Convert to fraction form
    3,819.44/5,274.96 = 2,423/x
  3. Step 3: Cross multiply
    3,819.44x = 5,274.96 × 2,423
  4. Step 4: Simplify right side
    3,819.44x = 12,781,228.08
  5. Step 5: Solve for x
    x = 12,781,228.08/3,819.44
  6. Step 6: Final answer
    x = 3,346.36

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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.