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Finding the Fourth Proportional to 3,485.33, 5,228.15 and 1,264.61

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Solution

The fourth proportional to 3,485.33, 5,228.15 and 1,264.61 is: 1,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.33 : 5,228.15 = 1,264.61 : x
  2. Step 2: Convert to fraction form
    3,485.33/5,228.15 = 1,264.61/x
  3. Step 3: Cross multiply
    3,485.33x = 5,228.15 × 1,264.61
  4. Step 4: Simplify right side
    3,485.33x = 6,611,577.52
  5. Step 5: Solve for x
    x = 6,611,577.52/3,485.33
  6. Step 6: Final answer
    x = 1,896.97

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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.