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Finding the Fourth Proportional to 5,742, 8,614.44 and 1,638

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Solution

The fourth proportional to 5,742, 8,614.44 and 1,638 is: 2,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 8,614.44 = 1,638 : x
  2. Step 2: Convert to fraction form
    5,742/8,614.44 = 1,638/x
  3. Step 3: Cross multiply
    5,742x = 8,614.44 × 1,638
  4. Step 4: Simplify right side
    5,742x = 14,110,452.72
  5. Step 5: Solve for x
    x = 14,110,452.72/5,742
  6. Step 6: Final answer
    x = 2,457.41

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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.