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Finding the Fourth Proportional to 5,243.91, 7,865.94 and 1,348.32

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Solution

The fourth proportional to 5,243.91, 7,865.94 and 1,348.32 is: 2,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.91 : 7,865.94 = 1,348.32 : x
  2. Step 2: Convert to fraction form
    5,243.91/7,865.94 = 1,348.32/x
  3. Step 3: Cross multiply
    5,243.91x = 7,865.94 × 1,348.32
  4. Step 4: Simplify right side
    5,243.91x = 10,605,804.22
  5. Step 5: Solve for x
    x = 10,605,804.22/5,243.91
  6. Step 6: Final answer
    x = 2,022.50

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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.