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Finding the Fourth Proportional to 3,205.37, 4,803.57 and 2,424.74

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Solution

The fourth proportional to 3,205.37, 4,803.57 and 2,424.74 is: 3,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.37 : 4,803.57 = 2,424.74 : x
  2. Step 2: Convert to fraction form
    3,205.37/4,803.57 = 2,424.74/x
  3. Step 3: Cross multiply
    3,205.37x = 4,803.57 × 2,424.74
  4. Step 4: Simplify right side
    3,205.37x = 11,647,384.30
  5. Step 5: Solve for x
    x = 11,647,384.30/3,205.37
  6. Step 6: Final answer
    x = 3,633.71

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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.