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Finding the Fourth Proportional to 5,201.48, 7,802.27 and 1,738.73

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Solution

The fourth proportional to 5,201.48, 7,802.27 and 1,738.73 is: 2,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.48 : 7,802.27 = 1,738.73 : x
  2. Step 2: Convert to fraction form
    5,201.48/7,802.27 = 1,738.73/x
  3. Step 3: Cross multiply
    5,201.48x = 7,802.27 × 1,738.73
  4. Step 4: Simplify right side
    5,201.48x = 13,566,040.92
  5. Step 5: Solve for x
    x = 13,566,040.92/5,201.48
  6. Step 6: Final answer
    x = 2,608.11

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1.5x scale

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.