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Finding the Fourth Proportional to 14,185.25, 21,277.88 and 3,797

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Solution

The fourth proportional to 14,185.25, 21,277.88 and 3,797 is: 5,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.25 : 21,277.88 = 3,797 : x
  2. Step 2: Convert to fraction form
    14,185.25/21,277.88 = 3,797/x
  3. Step 3: Cross multiply
    14,185.25x = 21,277.88 × 3,797
  4. Step 4: Simplify right side
    14,185.25x = 80,792,091.38
  5. Step 5: Solve for x
    x = 80,792,091.38/14,185.25
  6. Step 6: Final answer
    x = 5,695.50

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Why These Related Problems?

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