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Finding the Fourth Proportional to 4,959.57, 6,843.76 and 2,834.67

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Solution

The fourth proportional to 4,959.57, 6,843.76 and 2,834.67 is: 3,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.57 : 6,843.76 = 2,834.67 : x
  2. Step 2: Convert to fraction form
    4,959.57/6,843.76 = 2,834.67/x
  3. Step 3: Cross multiply
    4,959.57x = 6,843.76 × 2,834.67
  4. Step 4: Simplify right side
    4,959.57x = 19,399,801.16
  5. Step 5: Solve for x
    x = 19,399,801.16/4,959.57
  6. Step 6: Final answer
    x = 3,911.59

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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.