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Finding the Fourth Proportional to 3,609.30, 5,401.80 and 3,171.90

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Solution

The fourth proportional to 3,609.30, 5,401.80 and 3,171.90 is: 4,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.30 : 5,401.80 = 3,171.90 : x
  2. Step 2: Convert to fraction form
    3,609.30/5,401.80 = 3,171.90/x
  3. Step 3: Cross multiply
    3,609.30x = 5,401.80 × 3,171.90
  4. Step 4: Simplify right side
    3,609.30x = 17,133,969.42
  5. Step 5: Solve for x
    x = 17,133,969.42/3,609.30
  6. Step 6: Final answer
    x = 4,747.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.