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Finding the Fourth Proportional to 3,609.44, 5,414.20 and 1,556

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Solution

The fourth proportional to 3,609.44, 5,414.20 and 1,556 is: 2,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.44 : 5,414.20 = 1,556 : x
  2. Step 2: Convert to fraction form
    3,609.44/5,414.20 = 1,556/x
  3. Step 3: Cross multiply
    3,609.44x = 5,414.20 × 1,556
  4. Step 4: Simplify right side
    3,609.44x = 8,424,495.20
  5. Step 5: Solve for x
    x = 8,424,495.20/3,609.44
  6. Step 6: Final answer
    x = 2,334.02

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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.