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Finding the Fourth Proportional to 5,617.85, 8,425.42 and 1,722.29

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Solution

The fourth proportional to 5,617.85, 8,425.42 and 1,722.29 is: 2,583.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.85 : 8,425.42 = 1,722.29 : x
  2. Step 2: Convert to fraction form
    5,617.85/8,425.42 = 1,722.29/x
  3. Step 3: Cross multiply
    5,617.85x = 8,425.42 × 1,722.29
  4. Step 4: Simplify right side
    5,617.85x = 14,511,016.61
  5. Step 5: Solve for x
    x = 14,511,016.61/5,617.85
  6. Step 6: Final answer
    x = 2,583.02

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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.