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Finding the Fourth Proportional to 3,795, 5,721.81 and 3,034.68

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Solution

The fourth proportional to 3,795, 5,721.81 and 3,034.68 is: 4,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795 : 5,721.81 = 3,034.68 : x
  2. Step 2: Convert to fraction form
    3,795/5,721.81 = 3,034.68/x
  3. Step 3: Cross multiply
    3,795x = 5,721.81 × 3,034.68
  4. Step 4: Simplify right side
    3,795x = 17,363,862.37
  5. Step 5: Solve for x
    x = 17,363,862.37/3,795
  6. Step 6: Final answer
    x = 4,575.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.