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Finding the Fourth Proportional to 5,234.22, 7,852.11 and 1,723.07

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Solution

The fourth proportional to 5,234.22, 7,852.11 and 1,723.07 is: 2,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.22 : 7,852.11 = 1,723.07 : x
  2. Step 2: Convert to fraction form
    5,234.22/7,852.11 = 1,723.07/x
  3. Step 3: Cross multiply
    5,234.22x = 7,852.11 × 1,723.07
  4. Step 4: Simplify right side
    5,234.22x = 13,529,748.35
  5. Step 5: Solve for x
    x = 13,529,748.35/5,234.22
  6. Step 6: Final answer
    x = 2,584.86

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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.