Home / 5,940-8,197.20-3,457.44

Finding the Fourth Proportional to 5,940, 8,197.20 and 3,457.44

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Solution

The fourth proportional to 5,940, 8,197.20 and 3,457.44 is: 4,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 8,197.20 = 3,457.44 : x
  2. Step 2: Convert to fraction form
    5,940/8,197.20 = 3,457.44/x
  3. Step 3: Cross multiply
    5,940x = 8,197.20 × 3,457.44
  4. Step 4: Simplify right side
    5,940x = 28,341,327.17
  5. Step 5: Solve for x
    x = 28,341,327.17/5,940
  6. Step 6: Final answer
    x = 4,771.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.