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Finding the Fourth Proportional to 5,224.82, 7,832.19 and 1,760.18

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Solution

The fourth proportional to 5,224.82, 7,832.19 and 1,760.18 is: 2,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.82 : 7,832.19 = 1,760.18 : x
  2. Step 2: Convert to fraction form
    5,224.82/7,832.19 = 1,760.18/x
  3. Step 3: Cross multiply
    5,224.82x = 7,832.19 × 1,760.18
  4. Step 4: Simplify right side
    5,224.82x = 13,786,064.19
  5. Step 5: Solve for x
    x = 13,786,064.19/5,224.82
  6. Step 6: Final answer
    x = 2,638.57

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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.