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Finding the Fourth Proportional to 4,609.83, 6,917.19 and 2,012.97

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Solution

The fourth proportional to 4,609.83, 6,917.19 and 2,012.97 is: 3,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.83 : 6,917.19 = 2,012.97 : x
  2. Step 2: Convert to fraction form
    4,609.83/6,917.19 = 2,012.97/x
  3. Step 3: Cross multiply
    4,609.83x = 6,917.19 × 2,012.97
  4. Step 4: Simplify right side
    4,609.83x = 13,924,095.95
  5. Step 5: Solve for x
    x = 13,924,095.95/4,609.83
  6. Step 6: Final answer
    x = 3,020.52

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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.