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Finding the Fourth Proportional to 3,665.58, 5,058 and 2,072.07

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Solution

The fourth proportional to 3,665.58, 5,058 and 2,072.07 is: 2,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.58 : 5,058 = 2,072.07 : x
  2. Step 2: Convert to fraction form
    3,665.58/5,058 = 2,072.07/x
  3. Step 3: Cross multiply
    3,665.58x = 5,058 × 2,072.07
  4. Step 4: Simplify right side
    3,665.58x = 10,480,530.06
  5. Step 5: Solve for x
    x = 10,480,530.06/3,665.58
  6. Step 6: Final answer
    x = 2,859.17

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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.