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Finding the Fourth Proportional to 3,672.08, 5,067.41 and 2,180.06

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Solution

The fourth proportional to 3,672.08, 5,067.41 and 2,180.06 is: 3,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.08 : 5,067.41 = 2,180.06 : x
  2. Step 2: Convert to fraction form
    3,672.08/5,067.41 = 2,180.06/x
  3. Step 3: Cross multiply
    3,672.08x = 5,067.41 × 2,180.06
  4. Step 4: Simplify right side
    3,672.08x = 11,047,281.38
  5. Step 5: Solve for x
    x = 11,047,281.38/3,672.08
  6. Step 6: Final answer
    x = 3,008.45

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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.