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Finding the Fourth Proportional to 3,729.40, 5,597.70 and 3,182.20

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Solution

The fourth proportional to 3,729.40, 5,597.70 and 3,182.20 is: 4,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.40 : 5,597.70 = 3,182.20 : x
  2. Step 2: Convert to fraction form
    3,729.40/5,597.70 = 3,182.20/x
  3. Step 3: Cross multiply
    3,729.40x = 5,597.70 × 3,182.20
  4. Step 4: Simplify right side
    3,729.40x = 17,813,000.94
  5. Step 5: Solve for x
    x = 17,813,000.94/3,729.40
  6. Step 6: Final answer
    x = 4,776.37

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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.