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Finding the Fourth Proportional to 4,138.27, 6,211.82 and 1,674.70

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Solution

The fourth proportional to 4,138.27, 6,211.82 and 1,674.70 is: 2,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.27 : 6,211.82 = 1,674.70 : x
  2. Step 2: Convert to fraction form
    4,138.27/6,211.82 = 1,674.70/x
  3. Step 3: Cross multiply
    4,138.27x = 6,211.82 × 1,674.70
  4. Step 4: Simplify right side
    4,138.27x = 10,402,923.61
  5. Step 5: Solve for x
    x = 10,402,923.61/4,138.27
  6. Step 6: Final answer
    x = 2,513.84

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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.