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Finding the Fourth Proportional to 3,609.83, 5,411.29 and 1,759.94

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Solution

The fourth proportional to 3,609.83, 5,411.29 and 1,759.94 is: 2,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.83 : 5,411.29 = 1,759.94 : x
  2. Step 2: Convert to fraction form
    3,609.83/5,411.29 = 1,759.94/x
  3. Step 3: Cross multiply
    3,609.83x = 5,411.29 × 1,759.94
  4. Step 4: Simplify right side
    3,609.83x = 9,523,524.63
  5. Step 5: Solve for x
    x = 9,523,524.63/3,609.83
  6. Step 6: Final answer
    x = 2,638.22

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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.