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Finding the Fourth Proportional to 4,613.50, 6,367.44 and 3,044.80

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Solution

The fourth proportional to 4,613.50, 6,367.44 and 3,044.80 is: 4,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.50 : 6,367.44 = 3,044.80 : x
  2. Step 2: Convert to fraction form
    4,613.50/6,367.44 = 3,044.80/x
  3. Step 3: Cross multiply
    4,613.50x = 6,367.44 × 3,044.80
  4. Step 4: Simplify right side
    4,613.50x = 19,387,581.31
  5. Step 5: Solve for x
    x = 19,387,581.31/4,613.50
  6. Step 6: Final answer
    x = 4,202.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.