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Finding the Fourth Proportional to 3,661.74, 5,048.31 and 3,029.94

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Solution

The fourth proportional to 3,661.74, 5,048.31 and 3,029.94 is: 4,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.74 : 5,048.31 = 3,029.94 : x
  2. Step 2: Convert to fraction form
    3,661.74/5,048.31 = 3,029.94/x
  3. Step 3: Cross multiply
    3,661.74x = 5,048.31 × 3,029.94
  4. Step 4: Simplify right side
    3,661.74x = 15,296,076.40
  5. Step 5: Solve for x
    x = 15,296,076.40/3,661.74
  6. Step 6: Final answer
    x = 4,177.27

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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.