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Finding the Fourth Proportional to 3,986.39, 5,502.35 and 3,195.20

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Solution

The fourth proportional to 3,986.39, 5,502.35 and 3,195.20 is: 4,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.39 : 5,502.35 = 3,195.20 : x
  2. Step 2: Convert to fraction form
    3,986.39/5,502.35 = 3,195.20/x
  3. Step 3: Cross multiply
    3,986.39x = 5,502.35 × 3,195.20
  4. Step 4: Simplify right side
    3,986.39x = 17,581,130.46
  5. Step 5: Solve for x
    x = 17,581,130.46/3,986.39
  6. Step 6: Final answer
    x = 4,410.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.