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Finding the Fourth Proportional to 5,532.54, 7,629.14 and 4,273.80

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Solution

The fourth proportional to 5,532.54, 7,629.14 and 4,273.80 is: 5,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.54 : 7,629.14 = 4,273.80 : x
  2. Step 2: Convert to fraction form
    5,532.54/7,629.14 = 4,273.80/x
  3. Step 3: Cross multiply
    5,532.54x = 7,629.14 × 4,273.80
  4. Step 4: Simplify right side
    5,532.54x = 32,605,397.16
  5. Step 5: Solve for x
    x = 32,605,397.16/5,532.54
  6. Step 6: Final answer
    x = 5,893.39

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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.