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Finding the Fourth Proportional to 4,927.26, 7,348.16 and 4,201.50

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Solution

The fourth proportional to 4,927.26, 7,348.16 and 4,201.50 is: 6,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.26 : 7,348.16 = 4,201.50 : x
  2. Step 2: Convert to fraction form
    4,927.26/7,348.16 = 4,201.50/x
  3. Step 3: Cross multiply
    4,927.26x = 7,348.16 × 4,201.50
  4. Step 4: Simplify right side
    4,927.26x = 30,873,273.23
  5. Step 5: Solve for x
    x = 30,873,273.23/4,927.26
  6. Step 6: Final answer
    x = 6,265.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.