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Finding the Fourth Proportional to 5,821.23, 8,040.52 and 4,225.33

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Solution

The fourth proportional to 5,821.23, 8,040.52 and 4,225.33 is: 5,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.23 : 8,040.52 = 4,225.33 : x
  2. Step 2: Convert to fraction form
    5,821.23/8,040.52 = 4,225.33/x
  3. Step 3: Cross multiply
    5,821.23x = 8,040.52 × 4,225.33
  4. Step 4: Simplify right side
    5,821.23x = 33,973,841.94
  5. Step 5: Solve for x
    x = 33,973,841.94/5,821.23
  6. Step 6: Final answer
    x = 5,836.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.