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Finding the Fourth Proportional to 3,665.66, 5,058.74 and 2,072.66

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Solution

The fourth proportional to 3,665.66, 5,058.74 and 2,072.66 is: 2,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.66 : 5,058.74 = 2,072.66 : x
  2. Step 2: Convert to fraction form
    3,665.66/5,058.74 = 2,072.66/x
  3. Step 3: Cross multiply
    3,665.66x = 5,058.74 × 2,072.66
  4. Step 4: Simplify right side
    3,665.66x = 10,485,048.05
  5. Step 5: Solve for x
    x = 10,485,048.05/3,665.66
  6. Step 6: Final answer
    x = 2,860.34

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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.