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Finding the Fourth Proportional to 5,879.79, 8,113.25 and 3,361.50

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Solution

The fourth proportional to 5,879.79, 8,113.25 and 3,361.50 is: 4,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.79 : 8,113.25 = 3,361.50 : x
  2. Step 2: Convert to fraction form
    5,879.79/8,113.25 = 3,361.50/x
  3. Step 3: Cross multiply
    5,879.79x = 8,113.25 × 3,361.50
  4. Step 4: Simplify right side
    5,879.79x = 27,272,698.28
  5. Step 5: Solve for x
    x = 27,272,698.28/5,879.79
  6. Step 6: Final answer
    x = 4,638.38

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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.