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Finding the Fourth Proportional to 5,192.98, 7,166.26 and 3,202.74

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Solution

The fourth proportional to 5,192.98, 7,166.26 and 3,202.74 is: 4,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.98 : 7,166.26 = 3,202.74 : x
  2. Step 2: Convert to fraction form
    5,192.98/7,166.26 = 3,202.74/x
  3. Step 3: Cross multiply
    5,192.98x = 7,166.26 × 3,202.74
  4. Step 4: Simplify right side
    5,192.98x = 22,951,615.71
  5. Step 5: Solve for x
    x = 22,951,615.71/5,192.98
  6. Step 6: Final answer
    x = 4,419.74

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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.