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Finding the Fourth Proportional to 3,793.99, 5,232.74 and 2,468.12

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Solution

The fourth proportional to 3,793.99, 5,232.74 and 2,468.12 is: 3,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.99 : 5,232.74 = 2,468.12 : x
  2. Step 2: Convert to fraction form
    3,793.99/5,232.74 = 2,468.12/x
  3. Step 3: Cross multiply
    3,793.99x = 5,232.74 × 2,468.12
  4. Step 4: Simplify right side
    3,793.99x = 12,915,030.25
  5. Step 5: Solve for x
    x = 12,915,030.25/3,793.99
  6. Step 6: Final answer
    x = 3,404.08

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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.