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Finding the Fourth Proportional to 3,940.52, 5,911.32 and 3,120.32

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Solution

The fourth proportional to 3,940.52, 5,911.32 and 3,120.32 is: 4,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.52 : 5,911.32 = 3,120.32 : x
  2. Step 2: Convert to fraction form
    3,940.52/5,911.32 = 3,120.32/x
  3. Step 3: Cross multiply
    3,940.52x = 5,911.32 × 3,120.32
  4. Step 4: Simplify right side
    3,940.52x = 18,445,210.02
  5. Step 5: Solve for x
    x = 18,445,210.02/3,940.52
  6. Step 6: Final answer
    x = 4,680.91

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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.