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Finding the Fourth Proportional to 5,214, 7,195.32 and 3,006

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Solution

The fourth proportional to 5,214, 7,195.32 and 3,006 is: 4,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214 : 7,195.32 = 3,006 : x
  2. Step 2: Convert to fraction form
    5,214/7,195.32 = 3,006/x
  3. Step 3: Cross multiply
    5,214x = 7,195.32 × 3,006
  4. Step 4: Simplify right side
    5,214x = 21,629,131.92
  5. Step 5: Solve for x
    x = 21,629,131.92/5,214
  6. Step 6: Final answer
    x = 4,148.28

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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.