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Finding the Fourth Proportional to 5,224.83, 7,837.19 and 1,329.22

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Solution

The fourth proportional to 5,224.83, 7,837.19 and 1,329.22 is: 1,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.83 : 7,837.19 = 1,329.22 : x
  2. Step 2: Convert to fraction form
    5,224.83/7,837.19 = 1,329.22/x
  3. Step 3: Cross multiply
    5,224.83x = 7,837.19 × 1,329.22
  4. Step 4: Simplify right side
    5,224.83x = 10,417,349.69
  5. Step 5: Solve for x
    x = 10,417,349.69/5,224.83
  6. Step 6: Final answer
    x = 1,993.82

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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.