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Finding the Fourth Proportional to 5,493.12, 7,581.11 and 3,135.66

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Solution

The fourth proportional to 5,493.12, 7,581.11 and 3,135.66 is: 4,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.12 : 7,581.11 = 3,135.66 : x
  2. Step 2: Convert to fraction form
    5,493.12/7,581.11 = 3,135.66/x
  3. Step 3: Cross multiply
    5,493.12x = 7,581.11 × 3,135.66
  4. Step 4: Simplify right side
    5,493.12x = 23,771,783.38
  5. Step 5: Solve for x
    x = 23,771,783.38/5,493.12
  6. Step 6: Final answer
    x = 4,327.56

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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.