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Finding the Fourth Proportional to 4,897.26, 6,758.38 and 3,008.22

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Solution

The fourth proportional to 4,897.26, 6,758.38 and 3,008.22 is: 4,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.26 : 6,758.38 = 3,008.22 : x
  2. Step 2: Convert to fraction form
    4,897.26/6,758.38 = 3,008.22/x
  3. Step 3: Cross multiply
    4,897.26x = 6,758.38 × 3,008.22
  4. Step 4: Simplify right side
    4,897.26x = 20,330,693.88
  5. Step 5: Solve for x
    x = 20,330,693.88/4,897.26
  6. Step 6: Final answer
    x = 4,151.44

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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.