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Finding the Fourth Proportional to 3,456.78, 5,185.19 and 1,264.60

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Solution

The fourth proportional to 3,456.78, 5,185.19 and 1,264.60 is: 1,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.78 : 5,185.19 = 1,264.60 : x
  2. Step 2: Convert to fraction form
    3,456.78/5,185.19 = 1,264.60/x
  3. Step 3: Cross multiply
    3,456.78x = 5,185.19 × 1,264.60
  4. Step 4: Simplify right side
    3,456.78x = 6,557,191.27
  5. Step 5: Solve for x
    x = 6,557,191.27/3,456.78
  6. Step 6: Final answer
    x = 1,896.91

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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.