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Finding the Fourth Proportional to 3,160.82, 4,736.54 and 2,814.82

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Solution

The fourth proportional to 3,160.82, 4,736.54 and 2,814.82 is: 4,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.82 : 4,736.54 = 2,814.82 : x
  2. Step 2: Convert to fraction form
    3,160.82/4,736.54 = 2,814.82/x
  3. Step 3: Cross multiply
    3,160.82x = 4,736.54 × 2,814.82
  4. Step 4: Simplify right side
    3,160.82x = 13,332,502.72
  5. Step 5: Solve for x
    x = 13,332,502.72/3,160.82
  6. Step 6: Final answer
    x = 4,218.05

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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.