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Finding the Fourth Proportional to 5,661.48, 7,812.92 and 3,143.64

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Solution

The fourth proportional to 5,661.48, 7,812.92 and 3,143.64 is: 4,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.48 : 7,812.92 = 3,143.64 : x
  2. Step 2: Convert to fraction form
    5,661.48/7,812.92 = 3,143.64/x
  3. Step 3: Cross multiply
    5,661.48x = 7,812.92 × 3,143.64
  4. Step 4: Simplify right side
    5,661.48x = 24,561,007.83
  5. Step 5: Solve for x
    x = 24,561,007.83/5,661.48
  6. Step 6: Final answer
    x = 4,338.27

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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.