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Finding the Fourth Proportional to 4,896.20, 7,344.36 and 1,974.20

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Solution

The fourth proportional to 4,896.20, 7,344.36 and 1,974.20 is: 2,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.20 : 7,344.36 = 1,974.20 : x
  2. Step 2: Convert to fraction form
    4,896.20/7,344.36 = 1,974.20/x
  3. Step 3: Cross multiply
    4,896.20x = 7,344.36 × 1,974.20
  4. Step 4: Simplify right side
    4,896.20x = 14,499,235.51
  5. Step 5: Solve for x
    x = 14,499,235.51/4,896.20
  6. Step 6: Final answer
    x = 2,961.32

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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.