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Finding the Fourth Proportional to 5,493, 7,566.96 and 4,165.41

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Solution

The fourth proportional to 5,493, 7,566.96 and 4,165.41 is: 5,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493 : 7,566.96 = 4,165.41 : x
  2. Step 2: Convert to fraction form
    5,493/7,566.96 = 4,165.41/x
  3. Step 3: Cross multiply
    5,493x = 7,566.96 × 4,165.41
  4. Step 4: Simplify right side
    5,493x = 31,519,490.85
  5. Step 5: Solve for x
    x = 31,519,490.85/5,493
  6. Step 6: Final answer
    x = 5,738.12

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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.