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Finding the Fourth Proportional to 4,078.96, 6,119.46 and 2,229.58

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Solution

The fourth proportional to 4,078.96, 6,119.46 and 2,229.58 is: 3,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.96 : 6,119.46 = 2,229.58 : x
  2. Step 2: Convert to fraction form
    4,078.96/6,119.46 = 2,229.58/x
  3. Step 3: Cross multiply
    4,078.96x = 6,119.46 × 2,229.58
  4. Step 4: Simplify right side
    4,078.96x = 13,643,825.63
  5. Step 5: Solve for x
    x = 13,643,825.63/4,078.96
  6. Step 6: Final answer
    x = 3,344.93

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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.