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Finding the Fourth Proportional to 5,075, 7,571.56 and 4,520.96

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Solution

The fourth proportional to 5,075, 7,571.56 and 4,520.96 is: 6,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075 : 7,571.56 = 4,520.96 : x
  2. Step 2: Convert to fraction form
    5,075/7,571.56 = 4,520.96/x
  3. Step 3: Cross multiply
    5,075x = 7,571.56 × 4,520.96
  4. Step 4: Simplify right side
    5,075x = 34,230,719.90
  5. Step 5: Solve for x
    x = 34,230,719.90/5,075
  6. Step 6: Final answer
    x = 6,744.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.