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Finding the Fourth Proportional to 6,082.85, 8,391.87 and 4,292.93

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Solution

The fourth proportional to 6,082.85, 8,391.87 and 4,292.93 is: 5,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.85 : 8,391.87 = 4,292.93 : x
  2. Step 2: Convert to fraction form
    6,082.85/8,391.87 = 4,292.93/x
  3. Step 3: Cross multiply
    6,082.85x = 8,391.87 × 4,292.93
  4. Step 4: Simplify right side
    6,082.85x = 36,025,731.46
  5. Step 5: Solve for x
    x = 36,025,731.46/6,082.85
  6. Step 6: Final answer
    x = 5,922.51

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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.