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Finding the Fourth Proportional to 5,224.21, 7,837.13 and 1,761.19

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Solution

The fourth proportional to 5,224.21, 7,837.13 and 1,761.19 is: 2,642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.21 : 7,837.13 = 1,761.19 : x
  2. Step 2: Convert to fraction form
    5,224.21/7,837.13 = 1,761.19/x
  3. Step 3: Cross multiply
    5,224.21x = 7,837.13 × 1,761.19
  4. Step 4: Simplify right side
    5,224.21x = 13,802,659.79
  5. Step 5: Solve for x
    x = 13,802,659.79/5,224.21
  6. Step 6: Final answer
    x = 2,642.06

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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.