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Finding the Fourth Proportional to 3,994.50, 5,994.18 and 3,751.50

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Solution

The fourth proportional to 3,994.50, 5,994.18 and 3,751.50 is: 5,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.50 : 5,994.18 = 3,751.50 : x
  2. Step 2: Convert to fraction form
    3,994.50/5,994.18 = 3,751.50/x
  3. Step 3: Cross multiply
    3,994.50x = 5,994.18 × 3,751.50
  4. Step 4: Simplify right side
    3,994.50x = 22,487,166.27
  5. Step 5: Solve for x
    x = 22,487,166.27/3,994.50
  6. Step 6: Final answer
    x = 5,629.53

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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.