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Finding the Fourth Proportional to 5,834.50, 8,048.83 and 3,946.74

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Solution

The fourth proportional to 5,834.50, 8,048.83 and 3,946.74 is: 5,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.50 : 8,048.83 = 3,946.74 : x
  2. Step 2: Convert to fraction form
    5,834.50/8,048.83 = 3,946.74/x
  3. Step 3: Cross multiply
    5,834.50x = 8,048.83 × 3,946.74
  4. Step 4: Simplify right side
    5,834.50x = 31,766,639.31
  5. Step 5: Solve for x
    x = 31,766,639.31/5,834.50
  6. Step 6: Final answer
    x = 5,444.62

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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.