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Finding the Fourth Proportional to 3,755.01, 5,182.23 and 2,183

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Solution

The fourth proportional to 3,755.01, 5,182.23 and 2,183 is: 3,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.01 : 5,182.23 = 2,183 : x
  2. Step 2: Convert to fraction form
    3,755.01/5,182.23 = 2,183/x
  3. Step 3: Cross multiply
    3,755.01x = 5,182.23 × 2,183
  4. Step 4: Simplify right side
    3,755.01x = 11,312,808.09
  5. Step 5: Solve for x
    x = 11,312,808.09/3,755.01
  6. Step 6: Final answer
    x = 3,012.72

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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.