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Finding the Fourth Proportional to 5,312.20, 7,965.60 and 3,121.60

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Solution

The fourth proportional to 5,312.20, 7,965.60 and 3,121.60 is: 4,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.20 : 7,965.60 = 3,121.60 : x
  2. Step 2: Convert to fraction form
    5,312.20/7,965.60 = 3,121.60/x
  3. Step 3: Cross multiply
    5,312.20x = 7,965.60 × 3,121.60
  4. Step 4: Simplify right side
    5,312.20x = 24,865,416.96
  5. Step 5: Solve for x
    x = 24,865,416.96/5,312.20
  6. Step 6: Final answer
    x = 4,680.81

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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.