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Finding the Fourth Proportional to 3,458.06, 5,189.22 and 1,815.79

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Solution

The fourth proportional to 3,458.06, 5,189.22 and 1,815.79 is: 2,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.06 : 5,189.22 = 1,815.79 : x
  2. Step 2: Convert to fraction form
    3,458.06/5,189.22 = 1,815.79/x
  3. Step 3: Cross multiply
    3,458.06x = 5,189.22 × 1,815.79
  4. Step 4: Simplify right side
    3,458.06x = 9,422,520.81
  5. Step 5: Solve for x
    x = 9,422,520.81/3,458.06
  6. Step 6: Final answer
    x = 2,724.80

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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.