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Finding the Fourth Proportional to 4,215.65, 6,323.48 and 1,293.57

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Solution

The fourth proportional to 4,215.65, 6,323.48 and 1,293.57 is: 1,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.65 : 6,323.48 = 1,293.57 : x
  2. Step 2: Convert to fraction form
    4,215.65/6,323.48 = 1,293.57/x
  3. Step 3: Cross multiply
    4,215.65x = 6,323.48 × 1,293.57
  4. Step 4: Simplify right side
    4,215.65x = 8,179,857.56
  5. Step 5: Solve for x
    x = 8,179,857.56/4,215.65
  6. Step 6: Final answer
    x = 1,940.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.