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Finding the Fourth Proportional to 4,102.98, 5,663.94 and 3,192.42

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Solution

The fourth proportional to 4,102.98, 5,663.94 and 3,192.42 is: 4,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.98 : 5,663.94 = 3,192.42 : x
  2. Step 2: Convert to fraction form
    4,102.98/5,663.94 = 3,192.42/x
  3. Step 3: Cross multiply
    4,102.98x = 5,663.94 × 3,192.42
  4. Step 4: Simplify right side
    4,102.98x = 18,081,684.60
  5. Step 5: Solve for x
    x = 18,081,684.60/4,102.98
  6. Step 6: Final answer
    x = 4,406.97

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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.