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Finding the Fourth Proportional to 4,082, 5,633.16 and 2,219

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Solution

The fourth proportional to 4,082, 5,633.16 and 2,219 is: 3,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082 : 5,633.16 = 2,219 : x
  2. Step 2: Convert to fraction form
    4,082/5,633.16 = 2,219/x
  3. Step 3: Cross multiply
    4,082x = 5,633.16 × 2,219
  4. Step 4: Simplify right side
    4,082x = 12,499,982.04
  5. Step 5: Solve for x
    x = 12,499,982.04/4,082
  6. Step 6: Final answer
    x = 3,062.22

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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.