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Finding the Fourth Proportional to 5,398, 8,100.36 and 2,320

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Solution

The fourth proportional to 5,398, 8,100.36 and 2,320 is: 3,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398 : 8,100.36 = 2,320 : x
  2. Step 2: Convert to fraction form
    5,398/8,100.36 = 2,320/x
  3. Step 3: Cross multiply
    5,398x = 8,100.36 × 2,320
  4. Step 4: Simplify right side
    5,398x = 18,792,835.20
  5. Step 5: Solve for x
    x = 18,792,835.20/5,398
  6. Step 6: Final answer
    x = 3,481.44

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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.