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Finding the Fourth Proportional to 4,876.98, 6,730.98 and 3,203.24

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Solution

The fourth proportional to 4,876.98, 6,730.98 and 3,203.24 is: 4,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.98 : 6,730.98 = 3,203.24 : x
  2. Step 2: Convert to fraction form
    4,876.98/6,730.98 = 3,203.24/x
  3. Step 3: Cross multiply
    4,876.98x = 6,730.98 × 3,203.24
  4. Step 4: Simplify right side
    4,876.98x = 21,560,944.38
  5. Step 5: Solve for x
    x = 21,560,944.38/4,876.98
  6. Step 6: Final answer
    x = 4,420.96

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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.