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Finding the Fourth Proportional to 4,291.92, 6,438.49 and 1,369.85

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Solution

The fourth proportional to 4,291.92, 6,438.49 and 1,369.85 is: 2,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.92 : 6,438.49 = 1,369.85 : x
  2. Step 2: Convert to fraction form
    4,291.92/6,438.49 = 1,369.85/x
  3. Step 3: Cross multiply
    4,291.92x = 6,438.49 × 1,369.85
  4. Step 4: Simplify right side
    4,291.92x = 8,819,729.91
  5. Step 5: Solve for x
    x = 8,819,729.91/4,291.92
  6. Step 6: Final answer
    x = 2,054.96

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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.