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Finding the Fourth Proportional to 4,823.46, 7,236.84 and 1,900.20

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Solution

The fourth proportional to 4,823.46, 7,236.84 and 1,900.20 is: 2,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.46 : 7,236.84 = 1,900.20 : x
  2. Step 2: Convert to fraction form
    4,823.46/7,236.84 = 1,900.20/x
  3. Step 3: Cross multiply
    4,823.46x = 7,236.84 × 1,900.20
  4. Step 4: Simplify right side
    4,823.46x = 13,751,443.37
  5. Step 5: Solve for x
    x = 13,751,443.37/4,823.46
  6. Step 6: Final answer
    x = 2,850.95

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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.