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Finding the Fourth Proportional to 3,665.25, 5,058 and 1,986.64

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Solution

The fourth proportional to 3,665.25, 5,058 and 1,986.64 is: 2,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.25 : 5,058 = 1,986.64 : x
  2. Step 2: Convert to fraction form
    3,665.25/5,058 = 1,986.64/x
  3. Step 3: Cross multiply
    3,665.25x = 5,058 × 1,986.64
  4. Step 4: Simplify right side
    3,665.25x = 10,048,412.48
  5. Step 5: Solve for x
    x = 10,048,412.48/3,665.25
  6. Step 6: Final answer
    x = 2,741.54

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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.