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Finding the Fourth Proportional to 5,267.94, 7,895.61 and 2,342.94

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Solution

The fourth proportional to 5,267.94, 7,895.61 and 2,342.94 is: 3,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.94 : 7,895.61 = 2,342.94 : x
  2. Step 2: Convert to fraction form
    5,267.94/7,895.61 = 2,342.94/x
  3. Step 3: Cross multiply
    5,267.94x = 7,895.61 × 2,342.94
  4. Step 4: Simplify right side
    5,267.94x = 18,498,940.49
  5. Step 5: Solve for x
    x = 18,498,940.49/5,267.94
  6. Step 6: Final answer
    x = 3,511.61

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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.