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Finding the Fourth Proportional to 5,192.98, 7,166.31 and 3,703.49

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Solution

The fourth proportional to 5,192.98, 7,166.31 and 3,703.49 is: 5,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.98 : 7,166.31 = 3,703.49 : x
  2. Step 2: Convert to fraction form
    5,192.98/7,166.31 = 3,703.49/x
  3. Step 3: Cross multiply
    5,192.98x = 7,166.31 × 3,703.49
  4. Step 4: Simplify right side
    5,192.98x = 26,540,357.42
  5. Step 5: Solve for x
    x = 26,540,357.42/5,192.98
  6. Step 6: Final answer
    x = 5,110.81

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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.