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Finding the Fourth Proportional to 3,462, 4,770.96 and 2,412.24

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Solution

The fourth proportional to 3,462, 4,770.96 and 2,412.24 is: 3,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462 : 4,770.96 = 2,412.24 : x
  2. Step 2: Convert to fraction form
    3,462/4,770.96 = 2,412.24/x
  3. Step 3: Cross multiply
    3,462x = 4,770.96 × 2,412.24
  4. Step 4: Simplify right side
    3,462x = 11,508,700.55
  5. Step 5: Solve for x
    x = 11,508,700.55/3,462
  6. Step 6: Final answer
    x = 3,324.29

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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.