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Finding the Fourth Proportional to 3,662.34, 5,054.67 and 2,170.99

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Solution

The fourth proportional to 3,662.34, 5,054.67 and 2,170.99 is: 2,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.34 : 5,054.67 = 2,170.99 : x
  2. Step 2: Convert to fraction form
    3,662.34/5,054.67 = 2,170.99/x
  3. Step 3: Cross multiply
    3,662.34x = 5,054.67 × 2,170.99
  4. Step 4: Simplify right side
    3,662.34x = 10,973,638.02
  5. Step 5: Solve for x
    x = 10,973,638.02/3,662.34
  6. Step 6: Final answer
    x = 2,996.35

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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.