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Finding the Fourth Proportional to 3,172.86, 4,376.63 and 2,096.13

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Solution

The fourth proportional to 3,172.86, 4,376.63 and 2,096.13 is: 2,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.86 : 4,376.63 = 2,096.13 : x
  2. Step 2: Convert to fraction form
    3,172.86/4,376.63 = 2,096.13/x
  3. Step 3: Cross multiply
    3,172.86x = 4,376.63 × 2,096.13
  4. Step 4: Simplify right side
    3,172.86x = 9,173,974.96
  5. Step 5: Solve for x
    x = 9,173,974.96/3,172.86
  6. Step 6: Final answer
    x = 2,891.39

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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.