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Finding the Fourth Proportional to 3,462.96, 5,186.07 and 2,424

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Solution

The fourth proportional to 3,462.96, 5,186.07 and 2,424 is: 3,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.96 : 5,186.07 = 2,424 : x
  2. Step 2: Convert to fraction form
    3,462.96/5,186.07 = 2,424/x
  3. Step 3: Cross multiply
    3,462.96x = 5,186.07 × 2,424
  4. Step 4: Simplify right side
    3,462.96x = 12,571,033.68
  5. Step 5: Solve for x
    x = 12,571,033.68/3,462.96
  6. Step 6: Final answer
    x = 3,630.14

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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.