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Finding the Fourth Proportional to 5,757.72, 7,926.44 and 5,493.22

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Solution

The fourth proportional to 5,757.72, 7,926.44 and 5,493.22 is: 7,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.72 : 7,926.44 = 5,493.22 : x
  2. Step 2: Convert to fraction form
    5,757.72/7,926.44 = 5,493.22/x
  3. Step 3: Cross multiply
    5,757.72x = 7,926.44 × 5,493.22
  4. Step 4: Simplify right side
    5,757.72x = 43,541,678.74
  5. Step 5: Solve for x
    x = 43,541,678.74/5,757.72
  6. Step 6: Final answer
    x = 7,562.31

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1.5x scale

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.