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Finding the Fourth Proportional to 3,993.26, 5,509.20 and 2,420.78

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Solution

The fourth proportional to 3,993.26, 5,509.20 and 2,420.78 is: 3,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.26 : 5,509.20 = 2,420.78 : x
  2. Step 2: Convert to fraction form
    3,993.26/5,509.20 = 2,420.78/x
  3. Step 3: Cross multiply
    3,993.26x = 5,509.20 × 2,420.78
  4. Step 4: Simplify right side
    3,993.26x = 13,336,561.18
  5. Step 5: Solve for x
    x = 13,336,561.18/3,993.26
  6. Step 6: Final answer
    x = 3,339.77

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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.