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Finding the Fourth Proportional to 3,162.12, 4,364.64 and 1,836.12

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Solution

The fourth proportional to 3,162.12, 4,364.64 and 1,836.12 is: 2,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.12 : 4,364.64 = 1,836.12 : x
  2. Step 2: Convert to fraction form
    3,162.12/4,364.64 = 1,836.12/x
  3. Step 3: Cross multiply
    3,162.12x = 4,364.64 × 1,836.12
  4. Step 4: Simplify right side
    3,162.12x = 8,014,002.80
  5. Step 5: Solve for x
    x = 8,014,002.80/3,162.12
  6. Step 6: Final answer
    x = 2,534.38

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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.