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Finding the Fourth Proportional to 4,834.50, 6,674.83 and 3,713.44

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Solution

The fourth proportional to 4,834.50, 6,674.83 and 3,713.44 is: 5,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.50 : 6,674.83 = 3,713.44 : x
  2. Step 2: Convert to fraction form
    4,834.50/6,674.83 = 3,713.44/x
  3. Step 3: Cross multiply
    4,834.50x = 6,674.83 × 3,713.44
  4. Step 4: Simplify right side
    4,834.50x = 24,786,580.72
  5. Step 5: Solve for x
    x = 24,786,580.72/4,834.50
  6. Step 6: Final answer
    x = 5,127.02

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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.