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Finding the Fourth Proportional to 3,681.40, 5,081 and 2,189.84

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Solution

The fourth proportional to 3,681.40, 5,081 and 2,189.84 is: 3,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.40 : 5,081 = 2,189.84 : x
  2. Step 2: Convert to fraction form
    3,681.40/5,081 = 2,189.84/x
  3. Step 3: Cross multiply
    3,681.40x = 5,081 × 2,189.84
  4. Step 4: Simplify right side
    3,681.40x = 11,126,577.04
  5. Step 5: Solve for x
    x = 11,126,577.04/3,681.40
  6. Step 6: Final answer
    x = 3,022.38

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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.