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Finding the Fourth Proportional to 3,794.98, 5,233.80 and 2,468.20

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Solution

The fourth proportional to 3,794.98, 5,233.80 and 2,468.20 is: 3,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.98 : 5,233.80 = 2,468.20 : x
  2. Step 2: Convert to fraction form
    3,794.98/5,233.80 = 2,468.20/x
  3. Step 3: Cross multiply
    3,794.98x = 5,233.80 × 2,468.20
  4. Step 4: Simplify right side
    3,794.98x = 12,918,065.16
  5. Step 5: Solve for x
    x = 12,918,065.16/3,794.98
  6. Step 6: Final answer
    x = 3,403.99

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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.