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Finding the Fourth Proportional to 5,311.62, 7,969.86 and 2,025.45

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Solution

The fourth proportional to 5,311.62, 7,969.86 and 2,025.45 is: 3,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.62 : 7,969.86 = 2,025.45 : x
  2. Step 2: Convert to fraction form
    5,311.62/7,969.86 = 2,025.45/x
  3. Step 3: Cross multiply
    5,311.62x = 7,969.86 × 2,025.45
  4. Step 4: Simplify right side
    5,311.62x = 16,142,552.94
  5. Step 5: Solve for x
    x = 16,142,552.94/5,311.62
  6. Step 6: Final answer
    x = 3,039.10

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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.