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Finding the Fourth Proportional to 3,986.48, 5,502 and 3,322.28

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Solution

The fourth proportional to 3,986.48, 5,502 and 3,322.28 is: 4,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.48 : 5,502 = 3,322.28 : x
  2. Step 2: Convert to fraction form
    3,986.48/5,502 = 3,322.28/x
  3. Step 3: Cross multiply
    3,986.48x = 5,502 × 3,322.28
  4. Step 4: Simplify right side
    3,986.48x = 18,279,184.56
  5. Step 5: Solve for x
    x = 18,279,184.56/3,986.48
  6. Step 6: Final answer
    x = 4,585.29

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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.