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Finding the Fourth Proportional to 5,192.74, 7,166.91 and 3,097

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Solution

The fourth proportional to 5,192.74, 7,166.91 and 3,097 is: 4,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.74 : 7,166.91 = 3,097 : x
  2. Step 2: Convert to fraction form
    5,192.74/7,166.91 = 3,097/x
  3. Step 3: Cross multiply
    5,192.74x = 7,166.91 × 3,097
  4. Step 4: Simplify right side
    5,192.74x = 22,195,920.27
  5. Step 5: Solve for x
    x = 22,195,920.27/5,192.74
  6. Step 6: Final answer
    x = 4,274.41

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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.