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Finding the Fourth Proportional to 5,028.72, 7,532.16 and 3,075

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Solution

The fourth proportional to 5,028.72, 7,532.16 and 3,075 is: 4,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,028.72 : 7,532.16 = 3,075 : x
  2. Step 2: Convert to fraction form
    5,028.72/7,532.16 = 3,075/x
  3. Step 3: Cross multiply
    5,028.72x = 7,532.16 × 3,075
  4. Step 4: Simplify right side
    5,028.72x = 23,161,392
  5. Step 5: Solve for x
    x = 23,161,392/5,028.72
  6. Step 6: Final answer
    x = 4,605.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.