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Finding the Fourth Proportional to 5,214.34, 7,195.92 and 2,976.34

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Solution

The fourth proportional to 5,214.34, 7,195.92 and 2,976.34 is: 4,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.34 : 7,195.92 = 2,976.34 : x
  2. Step 2: Convert to fraction form
    5,214.34/7,195.92 = 2,976.34/x
  3. Step 3: Cross multiply
    5,214.34x = 7,195.92 × 2,976.34
  4. Step 4: Simplify right side
    5,214.34x = 21,417,504.53
  5. Step 5: Solve for x
    x = 21,417,504.53/5,214.34
  6. Step 6: Final answer
    x = 4,107.42

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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.