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Finding the Fourth Proportional to 3,662.34, 5,054.04 and 2,170.98

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Solution

The fourth proportional to 3,662.34, 5,054.04 and 2,170.98 is: 2,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.34 : 5,054.04 = 2,170.98 : x
  2. Step 2: Convert to fraction form
    3,662.34/5,054.04 = 2,170.98/x
  3. Step 3: Cross multiply
    3,662.34x = 5,054.04 × 2,170.98
  4. Step 4: Simplify right side
    3,662.34x = 10,972,219.76
  5. Step 5: Solve for x
    x = 10,972,219.76/3,662.34
  6. Step 6: Final answer
    x = 2,995.96

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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.