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Finding the Fourth Proportional to 8,804.50, 13,205.99 and 3,542.41

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Solution

The fourth proportional to 8,804.50, 13,205.99 and 3,542.41 is: 5,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,804.50 : 13,205.99 = 3,542.41 : x
  2. Step 2: Convert to fraction form
    8,804.50/13,205.99 = 3,542.41/x
  3. Step 3: Cross multiply
    8,804.50x = 13,205.99 × 3,542.41
  4. Step 4: Simplify right side
    8,804.50x = 46,780,999.33
  5. Step 5: Solve for x
    x = 46,780,999.33/8,804.50
  6. Step 6: Final answer
    x = 5,313.31

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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.