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Finding the Fourth Proportional to 5,010.36, 7,514.92 and 1,723

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Solution

The fourth proportional to 5,010.36, 7,514.92 and 1,723 is: 2,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.36 : 7,514.92 = 1,723 : x
  2. Step 2: Convert to fraction form
    5,010.36/7,514.92 = 1,723/x
  3. Step 3: Cross multiply
    5,010.36x = 7,514.92 × 1,723
  4. Step 4: Simplify right side
    5,010.36x = 12,948,207.16
  5. Step 5: Solve for x
    x = 12,948,207.16/5,010.36
  6. Step 6: Final answer
    x = 2,584.29

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