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Finding the Fourth Proportional to 3,819.34, 5,271.52 and 2,327.74

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Solution

The fourth proportional to 3,819.34, 5,271.52 and 2,327.74 is: 3,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.34 : 5,271.52 = 2,327.74 : x
  2. Step 2: Convert to fraction form
    3,819.34/5,271.52 = 2,327.74/x
  3. Step 3: Cross multiply
    3,819.34x = 5,271.52 × 2,327.74
  4. Step 4: Simplify right side
    3,819.34x = 12,270,727.96
  5. Step 5: Solve for x
    x = 12,270,727.96/3,819.34
  6. Step 6: Final answer
    x = 3,212.79

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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.