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Finding the Fourth Proportional to 4,896.68, 6,752.75 and 3,219.50

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Solution

The fourth proportional to 4,896.68, 6,752.75 and 3,219.50 is: 4,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.68 : 6,752.75 = 3,219.50 : x
  2. Step 2: Convert to fraction form
    4,896.68/6,752.75 = 3,219.50/x
  3. Step 3: Cross multiply
    4,896.68x = 6,752.75 × 3,219.50
  4. Step 4: Simplify right side
    4,896.68x = 21,740,428.76
  5. Step 5: Solve for x
    x = 21,740,428.76/4,896.68
  6. Step 6: Final answer
    x = 4,439.83

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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.