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Finding the Fourth Proportional to 4,659.98, 6,990.20 and 1,540.26

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Solution

The fourth proportional to 4,659.98, 6,990.20 and 1,540.26 is: 2,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.98 : 6,990.20 = 1,540.26 : x
  2. Step 2: Convert to fraction form
    4,659.98/6,990.20 = 1,540.26/x
  3. Step 3: Cross multiply
    4,659.98x = 6,990.20 × 1,540.26
  4. Step 4: Simplify right side
    4,659.98x = 10,766,717.75
  5. Step 5: Solve for x
    x = 10,766,717.75/4,659.98
  6. Step 6: Final answer
    x = 2,310.47

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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.