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Finding the Fourth Proportional to 5,452.92, 8,168.04 and 4,050

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Solution

The fourth proportional to 5,452.92, 8,168.04 and 4,050 is: 6,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.92 : 8,168.04 = 4,050 : x
  2. Step 2: Convert to fraction form
    5,452.92/8,168.04 = 4,050/x
  3. Step 3: Cross multiply
    5,452.92x = 8,168.04 × 4,050
  4. Step 4: Simplify right side
    5,452.92x = 33,080,562
  5. Step 5: Solve for x
    x = 33,080,562/5,452.92
  6. Step 6: Final answer
    x = 6,066.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.