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Finding the Fourth Proportional to 3,172.19, 4,377.10 and 1,992.42

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Solution

The fourth proportional to 3,172.19, 4,377.10 and 1,992.42 is: 2,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.19 : 4,377.10 = 1,992.42 : x
  2. Step 2: Convert to fraction form
    3,172.19/4,377.10 = 1,992.42/x
  3. Step 3: Cross multiply
    3,172.19x = 4,377.10 × 1,992.42
  4. Step 4: Simplify right side
    3,172.19x = 8,721,021.58
  5. Step 5: Solve for x
    x = 8,721,021.58/3,172.19
  6. Step 6: Final answer
    x = 2,749.21

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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.