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Finding the Fourth Proportional to 4,536.48, 6,805.44 and 1,939.44

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Solution

The fourth proportional to 4,536.48, 6,805.44 and 1,939.44 is: 2,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.48 : 6,805.44 = 1,939.44 : x
  2. Step 2: Convert to fraction form
    4,536.48/6,805.44 = 1,939.44/x
  3. Step 3: Cross multiply
    4,536.48x = 6,805.44 × 1,939.44
  4. Step 4: Simplify right side
    4,536.48x = 13,198,742.55
  5. Step 5: Solve for x
    x = 13,198,742.55/4,536.48
  6. Step 6: Final answer
    x = 2,909.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.