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Finding the Fourth Proportional to 5,042.25, 6,958.31 and 2,834.25

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Solution

The fourth proportional to 5,042.25, 6,958.31 and 2,834.25 is: 3,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.25 : 6,958.31 = 2,834.25 : x
  2. Step 2: Convert to fraction form
    5,042.25/6,958.31 = 2,834.25/x
  3. Step 3: Cross multiply
    5,042.25x = 6,958.31 × 2,834.25
  4. Step 4: Simplify right side
    5,042.25x = 19,721,575.95
  5. Step 5: Solve for x
    x = 19,721,575.95/5,042.25
  6. Step 6: Final answer
    x = 3,911.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.