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Finding the Fourth Proportional to 5,990.22, 8,969.60 and 4,813.97

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Solution

The fourth proportional to 5,990.22, 8,969.60 and 4,813.97 is: 7,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.22 : 8,969.60 = 4,813.97 : x
  2. Step 2: Convert to fraction form
    5,990.22/8,969.60 = 4,813.97/x
  3. Step 3: Cross multiply
    5,990.22x = 8,969.60 × 4,813.97
  4. Step 4: Simplify right side
    5,990.22x = 43,179,352.50
  5. Step 5: Solve for x
    x = 43,179,352.50/5,990.22
  6. Step 6: Final answer
    x = 7,208.31

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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.