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Finding the Fourth Proportional to 5,082.37, 7,604.49 and 4,205.29

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Solution

The fourth proportional to 5,082.37, 7,604.49 and 4,205.29 is: 6,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.37 : 7,604.49 = 4,205.29 : x
  2. Step 2: Convert to fraction form
    5,082.37/7,604.49 = 4,205.29/x
  3. Step 3: Cross multiply
    5,082.37x = 7,604.49 × 4,205.29
  4. Step 4: Simplify right side
    5,082.37x = 31,979,085.75
  5. Step 5: Solve for x
    x = 31,979,085.75/5,082.37
  6. Step 6: Final answer
    x = 6,292.16

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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.