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Finding the Fourth Proportional to 5,172.75, 7,138.62 and 2,934.63

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Solution

The fourth proportional to 5,172.75, 7,138.62 and 2,934.63 is: 4,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.75 : 7,138.62 = 2,934.63 : x
  2. Step 2: Convert to fraction form
    5,172.75/7,138.62 = 2,934.63/x
  3. Step 3: Cross multiply
    5,172.75x = 7,138.62 × 2,934.63
  4. Step 4: Simplify right side
    5,172.75x = 20,949,208.41
  5. Step 5: Solve for x
    x = 20,949,208.41/5,172.75
  6. Step 6: Final answer
    x = 4,049.92

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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.