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Finding the Fourth Proportional to 5,812.41, 8,017.07 and 3,822.33

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Solution

The fourth proportional to 5,812.41, 8,017.07 and 3,822.33 is: 5,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.41 : 8,017.07 = 3,822.33 : x
  2. Step 2: Convert to fraction form
    5,812.41/8,017.07 = 3,822.33/x
  3. Step 3: Cross multiply
    5,812.41x = 8,017.07 × 3,822.33
  4. Step 4: Simplify right side
    5,812.41x = 30,643,868.06
  5. Step 5: Solve for x
    x = 30,643,868.06/5,812.41
  6. Step 6: Final answer
    x = 5,272.14

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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.