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Finding the Fourth Proportional to 4,489.06, 6,733.41 and 1,717.06

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Solution

The fourth proportional to 4,489.06, 6,733.41 and 1,717.06 is: 2,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.06 : 6,733.41 = 1,717.06 : x
  2. Step 2: Convert to fraction form
    4,489.06/6,733.41 = 1,717.06/x
  3. Step 3: Cross multiply
    4,489.06x = 6,733.41 × 1,717.06
  4. Step 4: Simplify right side
    4,489.06x = 11,561,668.97
  5. Step 5: Solve for x
    x = 11,561,668.97/4,489.06
  6. Step 6: Final answer
    x = 2,575.52

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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.