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Finding the Fourth Proportional to 3,749, 5,619.66 and 1,559

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Solution

The fourth proportional to 3,749, 5,619.66 and 1,559 is: 2,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749 : 5,619.66 = 1,559 : x
  2. Step 2: Convert to fraction form
    3,749/5,619.66 = 1,559/x
  3. Step 3: Cross multiply
    3,749x = 5,619.66 × 1,559
  4. Step 4: Simplify right side
    3,749x = 8,761,049.94
  5. Step 5: Solve for x
    x = 8,761,049.94/3,749
  6. Step 6: Final answer
    x = 2,336.90

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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.