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Finding the Fourth Proportional to 3,903.43, 5,843.65 and 2,438.14

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Solution

The fourth proportional to 3,903.43, 5,843.65 and 2,438.14 is: 3,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.43 : 5,843.65 = 2,438.14 : x
  2. Step 2: Convert to fraction form
    3,903.43/5,843.65 = 2,438.14/x
  3. Step 3: Cross multiply
    3,903.43x = 5,843.65 × 2,438.14
  4. Step 4: Simplify right side
    3,903.43x = 14,247,636.81
  5. Step 5: Solve for x
    x = 14,247,636.81/3,903.43
  6. Step 6: Final answer
    x = 3,650.03

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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.