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Finding the Fourth Proportional to 3,665.16, 5,058 and 2,268

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Solution

The fourth proportional to 3,665.16, 5,058 and 2,268 is: 3,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.16 : 5,058 = 2,268 : x
  2. Step 2: Convert to fraction form
    3,665.16/5,058 = 2,268/x
  3. Step 3: Cross multiply
    3,665.16x = 5,058 × 2,268
  4. Step 4: Simplify right side
    3,665.16x = 11,471,544
  5. Step 5: Solve for x
    x = 11,471,544/3,665.16
  6. Step 6: Final answer
    x = 3,129.89

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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.