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Finding the Fourth Proportional to 4,601.97, 6,890.13 and 3,937.67

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Solution

The fourth proportional to 4,601.97, 6,890.13 and 3,937.67 is: 5,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.97 : 6,890.13 = 3,937.67 : x
  2. Step 2: Convert to fraction form
    4,601.97/6,890.13 = 3,937.67/x
  3. Step 3: Cross multiply
    4,601.97x = 6,890.13 × 3,937.67
  4. Step 4: Simplify right side
    4,601.97x = 27,131,023.75
  5. Step 5: Solve for x
    x = 27,131,023.75/4,601.97
  6. Step 6: Final answer
    x = 5,895.52

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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.