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Finding the Fourth Proportional to 3,821.02, 5,730.92 and 2,339.73

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Solution

The fourth proportional to 3,821.02, 5,730.92 and 2,339.73 is: 3,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.02 : 5,730.92 = 2,339.73 : x
  2. Step 2: Convert to fraction form
    3,821.02/5,730.92 = 2,339.73/x
  3. Step 3: Cross multiply
    3,821.02x = 5,730.92 × 2,339.73
  4. Step 4: Simplify right side
    3,821.02x = 13,408,793.75
  5. Step 5: Solve for x
    x = 13,408,793.75/3,821.02
  6. Step 6: Final answer
    x = 3,509.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.