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Finding the Fourth Proportional to 5,214.29, 7,195.23 and 2,976.14

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Solution

The fourth proportional to 5,214.29, 7,195.23 and 2,976.14 is: 4,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.29 : 7,195.23 = 2,976.14 : x
  2. Step 2: Convert to fraction form
    5,214.29/7,195.23 = 2,976.14/x
  3. Step 3: Cross multiply
    5,214.29x = 7,195.23 × 2,976.14
  4. Step 4: Simplify right side
    5,214.29x = 21,414,029.80
  5. Step 5: Solve for x
    x = 21,414,029.80/5,214.29
  6. Step 6: Final answer
    x = 4,106.80

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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.