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Finding the Fourth Proportional to 5,298.54, 7,938 and 2,662.98

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Solution

The fourth proportional to 5,298.54, 7,938 and 2,662.98 is: 3,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.54 : 7,938 = 2,662.98 : x
  2. Step 2: Convert to fraction form
    5,298.54/7,938 = 2,662.98/x
  3. Step 3: Cross multiply
    5,298.54x = 7,938 × 2,662.98
  4. Step 4: Simplify right side
    5,298.54x = 21,138,735.24
  5. Step 5: Solve for x
    x = 21,138,735.24/5,298.54
  6. Step 6: Final answer
    x = 3,989.54

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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.