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Finding the Fourth Proportional to 3,485.92, 5,227.08 and 1,294.60

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Solution

The fourth proportional to 3,485.92, 5,227.08 and 1,294.60 is: 1,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.92 : 5,227.08 = 1,294.60 : x
  2. Step 2: Convert to fraction form
    3,485.92/5,227.08 = 1,294.60/x
  3. Step 3: Cross multiply
    3,485.92x = 5,227.08 × 1,294.60
  4. Step 4: Simplify right side
    3,485.92x = 6,766,977.77
  5. Step 5: Solve for x
    x = 6,766,977.77/3,485.92
  6. Step 6: Final answer
    x = 1,941.23

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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.