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Finding the Fourth Proportional to 3,266.28, 4,896.35 and 1,621.25

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Solution

The fourth proportional to 3,266.28, 4,896.35 and 1,621.25 is: 2,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.28 : 4,896.35 = 1,621.25 : x
  2. Step 2: Convert to fraction form
    3,266.28/4,896.35 = 1,621.25/x
  3. Step 3: Cross multiply
    3,266.28x = 4,896.35 × 1,621.25
  4. Step 4: Simplify right side
    3,266.28x = 7,938,174.85
  5. Step 5: Solve for x
    x = 7,938,174.85/3,266.28
  6. Step 6: Final answer
    x = 2,430.34

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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.