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Finding the Fourth Proportional to 3,420.93, 5,131.60 and 922.49

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Solution

The fourth proportional to 3,420.93, 5,131.60 and 922.49 is: 1,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.93 : 5,131.60 = 922.49 : x
  2. Step 2: Convert to fraction form
    3,420.93/5,131.60 = 922.49/x
  3. Step 3: Cross multiply
    3,420.93x = 5,131.60 × 922.49
  4. Step 4: Simplify right side
    3,420.93x = 4,733,849.68
  5. Step 5: Solve for x
    x = 4,733,849.68/3,420.93
  6. Step 6: Final answer
    x = 1,383.79

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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.