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Finding the Fourth Proportional to 3,741.94, 5,609.19 and 2,099.86

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Solution

The fourth proportional to 3,741.94, 5,609.19 and 2,099.86 is: 3,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.94 : 5,609.19 = 2,099.86 : x
  2. Step 2: Convert to fraction form
    3,741.94/5,609.19 = 2,099.86/x
  3. Step 3: Cross multiply
    3,741.94x = 5,609.19 × 2,099.86
  4. Step 4: Simplify right side
    3,741.94x = 11,778,513.71
  5. Step 5: Solve for x
    x = 11,778,513.71/3,741.94
  6. Step 6: Final answer
    x = 3,147.70

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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.