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Finding the Fourth Proportional to 5,230.97, 7,847.61 and 1,722.06

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Solution

The fourth proportional to 5,230.97, 7,847.61 and 1,722.06 is: 2,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.97 : 7,847.61 = 1,722.06 : x
  2. Step 2: Convert to fraction form
    5,230.97/7,847.61 = 1,722.06/x
  3. Step 3: Cross multiply
    5,230.97x = 7,847.61 × 1,722.06
  4. Step 4: Simplify right side
    5,230.97x = 13,514,025.85
  5. Step 5: Solve for x
    x = 13,514,025.85/5,230.97
  6. Step 6: Final answer
    x = 2,583.47

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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.