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Finding the Fourth Proportional to 5,493.94, 7,581.36 and 3,256

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Solution

The fourth proportional to 5,493.94, 7,581.36 and 3,256 is: 4,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.94 : 7,581.36 = 3,256 : x
  2. Step 2: Convert to fraction form
    5,493.94/7,581.36 = 3,256/x
  3. Step 3: Cross multiply
    5,493.94x = 7,581.36 × 3,256
  4. Step 4: Simplify right side
    5,493.94x = 24,684,908.16
  5. Step 5: Solve for x
    x = 24,684,908.16/5,493.94
  6. Step 6: Final answer
    x = 4,493.12

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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.