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Finding the Fourth Proportional to 4,075, 6,093.81 and 3,035.72

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Solution

The fourth proportional to 4,075, 6,093.81 and 3,035.72 is: 4,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075 : 6,093.81 = 3,035.72 : x
  2. Step 2: Convert to fraction form
    4,075/6,093.81 = 3,035.72/x
  3. Step 3: Cross multiply
    4,075x = 6,093.81 × 3,035.72
  4. Step 4: Simplify right side
    4,075x = 18,499,100.89
  5. Step 5: Solve for x
    x = 18,499,100.89/4,075
  6. Step 6: Final answer
    x = 4,539.66

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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.