Home / 6,075-8,380.26-4,082.13

Finding the Fourth Proportional to 6,075, 8,380.26 and 4,082.13

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Solution

The fourth proportional to 6,075, 8,380.26 and 4,082.13 is: 5,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075 : 8,380.26 = 4,082.13 : x
  2. Step 2: Convert to fraction form
    6,075/8,380.26 = 4,082.13/x
  3. Step 3: Cross multiply
    6,075x = 8,380.26 × 4,082.13
  4. Step 4: Simplify right side
    6,075x = 34,209,310.75
  5. Step 5: Solve for x
    x = 34,209,310.75/6,075
  6. Step 6: Final answer
    x = 5,631.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.