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Finding the Fourth Proportional to 5,431.56, 7,496.76 and 3,075

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Solution

The fourth proportional to 5,431.56, 7,496.76 and 3,075 is: 4,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.56 : 7,496.76 = 3,075 : x
  2. Step 2: Convert to fraction form
    5,431.56/7,496.76 = 3,075/x
  3. Step 3: Cross multiply
    5,431.56x = 7,496.76 × 3,075
  4. Step 4: Simplify right side
    5,431.56x = 23,052,537
  5. Step 5: Solve for x
    x = 23,052,537/5,431.56
  6. Step 6: Final answer
    x = 4,244.18

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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.