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Finding the Fourth Proportional to 3,263.72, 4,896.12 and 1,620.32

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Solution

The fourth proportional to 3,263.72, 4,896.12 and 1,620.32 is: 2,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.72 : 4,896.12 = 1,620.32 : x
  2. Step 2: Convert to fraction form
    3,263.72/4,896.12 = 1,620.32/x
  3. Step 3: Cross multiply
    3,263.72x = 4,896.12 × 1,620.32
  4. Step 4: Simplify right side
    3,263.72x = 7,933,281.16
  5. Step 5: Solve for x
    x = 7,933,281.16/3,263.72
  6. Step 6: Final answer
    x = 2,430.75

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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.