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Finding the Fourth Proportional to 5,161.47, 7,120.54 and 3,064.38

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Solution

The fourth proportional to 5,161.47, 7,120.54 and 3,064.38 is: 4,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.47 : 7,120.54 = 3,064.38 : x
  2. Step 2: Convert to fraction form
    5,161.47/7,120.54 = 3,064.38/x
  3. Step 3: Cross multiply
    5,161.47x = 7,120.54 × 3,064.38
  4. Step 4: Simplify right side
    5,161.47x = 21,820,040.37
  5. Step 5: Solve for x
    x = 21,820,040.37/5,161.47
  6. Step 6: Final answer
    x = 4,227.49

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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.