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Finding the Fourth Proportional to 4,904.50, 6,768.21 and 2,696.50

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Solution

The fourth proportional to 4,904.50, 6,768.21 and 2,696.50 is: 3,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.50 : 6,768.21 = 2,696.50 : x
  2. Step 2: Convert to fraction form
    4,904.50/6,768.21 = 2,696.50/x
  3. Step 3: Cross multiply
    4,904.50x = 6,768.21 × 2,696.50
  4. Step 4: Simplify right side
    4,904.50x = 18,250,478.27
  5. Step 5: Solve for x
    x = 18,250,478.27/4,904.50
  6. Step 6: Final answer
    x = 3,721.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.