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Finding the Fourth Proportional to 4,946.50, 6,826.17 and 2,738.50

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Solution

The fourth proportional to 4,946.50, 6,826.17 and 2,738.50 is: 3,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.50 : 6,826.17 = 2,738.50 : x
  2. Step 2: Convert to fraction form
    4,946.50/6,826.17 = 2,738.50/x
  3. Step 3: Cross multiply
    4,946.50x = 6,826.17 × 2,738.50
  4. Step 4: Simplify right side
    4,946.50x = 18,693,466.55
  5. Step 5: Solve for x
    x = 18,693,466.55/4,946.50
  6. Step 6: Final answer
    x = 3,779.13

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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.