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Finding the Fourth Proportional to 3,672.42, 5,067.81 and 2,099.40

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Solution

The fourth proportional to 3,672.42, 5,067.81 and 2,099.40 is: 2,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.42 : 5,067.81 = 2,099.40 : x
  2. Step 2: Convert to fraction form
    3,672.42/5,067.81 = 2,099.40/x
  3. Step 3: Cross multiply
    3,672.42x = 5,067.81 × 2,099.40
  4. Step 4: Simplify right side
    3,672.42x = 10,639,360.31
  5. Step 5: Solve for x
    x = 10,639,360.31/3,672.42
  6. Step 6: Final answer
    x = 2,897.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.