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Finding the Fourth Proportional to 3,885.30, 5,350.05 and 3,185.46

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Solution

The fourth proportional to 3,885.30, 5,350.05 and 3,185.46 is: 4,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.30 : 5,350.05 = 3,185.46 : x
  2. Step 2: Convert to fraction form
    3,885.30/5,350.05 = 3,185.46/x
  3. Step 3: Cross multiply
    3,885.30x = 5,350.05 × 3,185.46
  4. Step 4: Simplify right side
    3,885.30x = 17,042,370.27
  5. Step 5: Solve for x
    x = 17,042,370.27/3,885.30
  6. Step 6: Final answer
    x = 4,386.37

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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.