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Finding the Fourth Proportional to 5,809.48, 8,714.22 and 2,111.68

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Solution

The fourth proportional to 5,809.48, 8,714.22 and 2,111.68 is: 3,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.48 : 8,714.22 = 2,111.68 : x
  2. Step 2: Convert to fraction form
    5,809.48/8,714.22 = 2,111.68/x
  3. Step 3: Cross multiply
    5,809.48x = 8,714.22 × 2,111.68
  4. Step 4: Simplify right side
    5,809.48x = 18,401,644.09
  5. Step 5: Solve for x
    x = 18,401,644.09/5,809.48
  6. Step 6: Final answer
    x = 3,167.52

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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.