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Finding the Fourth Proportional to 5,969.54, 8,237.34 and 3,451.26

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Solution

The fourth proportional to 5,969.54, 8,237.34 and 3,451.26 is: 4,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.54 : 8,237.34 = 3,451.26 : x
  2. Step 2: Convert to fraction form
    5,969.54/8,237.34 = 3,451.26/x
  3. Step 3: Cross multiply
    5,969.54x = 8,237.34 × 3,451.26
  4. Step 4: Simplify right side
    5,969.54x = 28,429,202.05
  5. Step 5: Solve for x
    x = 28,429,202.05/5,969.54
  6. Step 6: Final answer
    x = 4,762.38

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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.