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Finding the Fourth Proportional to 4,930.76, 6,805.07 and 3,161.72

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Solution

The fourth proportional to 4,930.76, 6,805.07 and 3,161.72 is: 4,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.76 : 6,805.07 = 3,161.72 : x
  2. Step 2: Convert to fraction form
    4,930.76/6,805.07 = 3,161.72/x
  3. Step 3: Cross multiply
    4,930.76x = 6,805.07 × 3,161.72
  4. Step 4: Simplify right side
    4,930.76x = 21,515,676.09
  5. Step 5: Solve for x
    x = 21,515,676.09/4,930.76
  6. Step 6: Final answer
    x = 4,363.57

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