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Finding the Fourth Proportional to 5,661.33, 7,812.87 and 3,143.44

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Solution

The fourth proportional to 5,661.33, 7,812.87 and 3,143.44 is: 4,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.33 : 7,812.87 = 3,143.44 : x
  2. Step 2: Convert to fraction form
    5,661.33/7,812.87 = 3,143.44/x
  3. Step 3: Cross multiply
    5,661.33x = 7,812.87 × 3,143.44
  4. Step 4: Simplify right side
    5,661.33x = 24,559,265.68
  5. Step 5: Solve for x
    x = 24,559,265.68/5,661.33
  6. Step 6: Final answer
    x = 4,338.08

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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.