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Finding the Fourth Proportional to 5,467.38, 7,525.98 and 4,767.54

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Solution

The fourth proportional to 5,467.38, 7,525.98 and 4,767.54 is: 6,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.38 : 7,525.98 = 4,767.54 : x
  2. Step 2: Convert to fraction form
    5,467.38/7,525.98 = 4,767.54/x
  3. Step 3: Cross multiply
    5,467.38x = 7,525.98 × 4,767.54
  4. Step 4: Simplify right side
    5,467.38x = 35,880,410.69
  5. Step 5: Solve for x
    x = 35,880,410.69/5,467.38
  6. Step 6: Final answer
    x = 6,562.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.