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Finding the Fourth Proportional to 3,882, 5,357.60 and 2,204.08

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Solution

The fourth proportional to 3,882, 5,357.60 and 2,204.08 is: 3,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882 : 5,357.60 = 2,204.08 : x
  2. Step 2: Convert to fraction form
    3,882/5,357.60 = 2,204.08/x
  3. Step 3: Cross multiply
    3,882x = 5,357.60 × 2,204.08
  4. Step 4: Simplify right side
    3,882x = 11,808,579.01
  5. Step 5: Solve for x
    x = 11,808,579.01/3,882
  6. Step 6: Final answer
    x = 3,041.88

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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.