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Finding the Fourth Proportional to 5,601.50, 7,730.25 and 3,083.48

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Solution

The fourth proportional to 5,601.50, 7,730.25 and 3,083.48 is: 4,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.50 : 7,730.25 = 3,083.48 : x
  2. Step 2: Convert to fraction form
    5,601.50/7,730.25 = 3,083.48/x
  3. Step 3: Cross multiply
    5,601.50x = 7,730.25 × 3,083.48
  4. Step 4: Simplify right side
    5,601.50x = 23,836,071.27
  5. Step 5: Solve for x
    x = 23,836,071.27/5,601.50
  6. Step 6: Final answer
    x = 4,255.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.