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Finding the Fourth Proportional to 5,973.77, 8,243.82 and 3,321.22

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Solution

The fourth proportional to 5,973.77, 8,243.82 and 3,321.22 is: 4,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.77 : 8,243.82 = 3,321.22 : x
  2. Step 2: Convert to fraction form
    5,973.77/8,243.82 = 3,321.22/x
  3. Step 3: Cross multiply
    5,973.77x = 8,243.82 × 3,321.22
  4. Step 4: Simplify right side
    5,973.77x = 27,379,539.86
  5. Step 5: Solve for x
    x = 27,379,539.86/5,973.77
  6. Step 6: Final answer
    x = 4,583.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.