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Finding the Fourth Proportional to 5,089.49, 7,600.26 and 3,981.41

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Solution

The fourth proportional to 5,089.49, 7,600.26 and 3,981.41 is: 5,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.49 : 7,600.26 = 3,981.41 : x
  2. Step 2: Convert to fraction form
    5,089.49/7,600.26 = 3,981.41/x
  3. Step 3: Cross multiply
    5,089.49x = 7,600.26 × 3,981.41
  4. Step 4: Simplify right side
    5,089.49x = 30,259,751.17
  5. Step 5: Solve for x
    x = 30,259,751.17/5,089.49
  6. Step 6: Final answer
    x = 5,945.54

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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.