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Finding the Fourth Proportional to 4,751.46, 7,128.62 and 3,367.46

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Solution

The fourth proportional to 4,751.46, 7,128.62 and 3,367.46 is: 5,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.46 : 7,128.62 = 3,367.46 : x
  2. Step 2: Convert to fraction form
    4,751.46/7,128.62 = 3,367.46/x
  3. Step 3: Cross multiply
    4,751.46x = 7,128.62 × 3,367.46
  4. Step 4: Simplify right side
    4,751.46x = 24,005,290.22
  5. Step 5: Solve for x
    x = 24,005,290.22/4,751.46
  6. Step 6: Final answer
    x = 5,052.19

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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.