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Finding the Fourth Proportional to 5,945.94, 8,197.40 and 5,103

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Solution

The fourth proportional to 5,945.94, 8,197.40 and 5,103 is: 7,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.94 : 8,197.40 = 5,103 : x
  2. Step 2: Convert to fraction form
    5,945.94/8,197.40 = 5,103/x
  3. Step 3: Cross multiply
    5,945.94x = 8,197.40 × 5,103
  4. Step 4: Simplify right side
    5,945.94x = 41,831,344.96
  5. Step 5: Solve for x
    x = 41,831,344.96/5,945.94
  6. Step 6: Final answer
    x = 7,035.28

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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.