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Finding the Fourth Proportional to 4,215.75, 6,323.99 and 1,137.75

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Solution

The fourth proportional to 4,215.75, 6,323.99 and 1,137.75 is: 1,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.75 : 6,323.99 = 1,137.75 : x
  2. Step 2: Convert to fraction form
    4,215.75/6,323.99 = 1,137.75/x
  3. Step 3: Cross multiply
    4,215.75x = 6,323.99 × 1,137.75
  4. Step 4: Simplify right side
    4,215.75x = 7,195,113.93
  5. Step 5: Solve for x
    x = 7,195,113.93/4,215.75
  6. Step 6: Final answer
    x = 1,706.72

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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.