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Finding the Fourth Proportional to 5,371.41, 8,036.94 and 3,815.22

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Solution

The fourth proportional to 5,371.41, 8,036.94 and 3,815.22 is: 5,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.41 : 8,036.94 = 3,815.22 : x
  2. Step 2: Convert to fraction form
    5,371.41/8,036.94 = 3,815.22/x
  3. Step 3: Cross multiply
    5,371.41x = 8,036.94 × 3,815.22
  4. Step 4: Simplify right side
    5,371.41x = 30,662,694.23
  5. Step 5: Solve for x
    x = 30,662,694.23/5,371.41
  6. Step 6: Final answer
    x = 5,708.50

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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.