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Finding the Fourth Proportional to 3,638.92, 5,009.14 and 3,172.36

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Solution

The fourth proportional to 3,638.92, 5,009.14 and 3,172.36 is: 4,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.92 : 5,009.14 = 3,172.36 : x
  2. Step 2: Convert to fraction form
    3,638.92/5,009.14 = 3,172.36/x
  3. Step 3: Cross multiply
    3,638.92x = 5,009.14 × 3,172.36
  4. Step 4: Simplify right side
    3,638.92x = 15,890,795.37
  5. Step 5: Solve for x
    x = 15,890,795.37/3,638.92
  6. Step 6: Final answer
    x = 4,366.90

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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.