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Finding the Fourth Proportional to 3,287.49, 4,536.75 and 1,795.44

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Solution

The fourth proportional to 3,287.49, 4,536.75 and 1,795.44 is: 2,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.49 : 4,536.75 = 1,795.44 : x
  2. Step 2: Convert to fraction form
    3,287.49/4,536.75 = 1,795.44/x
  3. Step 3: Cross multiply
    3,287.49x = 4,536.75 × 1,795.44
  4. Step 4: Simplify right side
    3,287.49x = 8,145,462.42
  5. Step 5: Solve for x
    x = 8,145,462.42/3,287.49
  6. Step 6: Final answer
    x = 2,477.71

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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.