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Finding the Fourth Proportional to 3,265.87, 4,896.77 and 1,074.01

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Solution

The fourth proportional to 3,265.87, 4,896.77 and 1,074.01 is: 1,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.87 : 4,896.77 = 1,074.01 : x
  2. Step 2: Convert to fraction form
    3,265.87/4,896.77 = 1,074.01/x
  3. Step 3: Cross multiply
    3,265.87x = 4,896.77 × 1,074.01
  4. Step 4: Simplify right side
    3,265.87x = 5,259,179.95
  5. Step 5: Solve for x
    x = 5,259,179.95/3,265.87
  6. Step 6: Final answer
    x = 1,610.35

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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.