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Finding the Fourth Proportional to 3,630.96, 5,447.40 and 1,782

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Solution

The fourth proportional to 3,630.96, 5,447.40 and 1,782 is: 2,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.96 : 5,447.40 = 1,782 : x
  2. Step 2: Convert to fraction form
    3,630.96/5,447.40 = 1,782/x
  3. Step 3: Cross multiply
    3,630.96x = 5,447.40 × 1,782
  4. Step 4: Simplify right side
    3,630.96x = 9,707,266.80
  5. Step 5: Solve for x
    x = 9,707,266.80/3,630.96
  6. Step 6: Final answer
    x = 2,673.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.