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Finding the Fourth Proportional to 4,659.47, 6,990.79 and 2,194.41

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Solution

The fourth proportional to 4,659.47, 6,990.79 and 2,194.41 is: 3,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.47 : 6,990.79 = 2,194.41 : x
  2. Step 2: Convert to fraction form
    4,659.47/6,990.79 = 2,194.41/x
  3. Step 3: Cross multiply
    4,659.47x = 6,990.79 × 2,194.41
  4. Step 4: Simplify right side
    4,659.47x = 15,340,654.00
  5. Step 5: Solve for x
    x = 15,340,654.00/4,659.47
  6. Step 6: Final answer
    x = 3,292.36

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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.