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Finding the Fourth Proportional to 5,141.27, 7,713.16 and 1,443.49

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Solution

The fourth proportional to 5,141.27, 7,713.16 and 1,443.49 is: 2,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.27 : 7,713.16 = 1,443.49 : x
  2. Step 2: Convert to fraction form
    5,141.27/7,713.16 = 1,443.49/x
  3. Step 3: Cross multiply
    5,141.27x = 7,713.16 × 1,443.49
  4. Step 4: Simplify right side
    5,141.27x = 11,133,846.44
  5. Step 5: Solve for x
    x = 11,133,846.44/5,141.27
  6. Step 6: Final answer
    x = 2,165.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.