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Finding the Fourth Proportional to 3,674.40, 5,508.36 and 1,728.96

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Solution

The fourth proportional to 3,674.40, 5,508.36 and 1,728.96 is: 2,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.40 : 5,508.36 = 1,728.96 : x
  2. Step 2: Convert to fraction form
    3,674.40/5,508.36 = 1,728.96/x
  3. Step 3: Cross multiply
    3,674.40x = 5,508.36 × 1,728.96
  4. Step 4: Simplify right side
    3,674.40x = 9,523,734.11
  5. Step 5: Solve for x
    x = 9,523,734.11/3,674.40
  6. Step 6: Final answer
    x = 2,591.92

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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.