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Finding the Fourth Proportional to 5,809.47, 8,714.30 and 2,109.39

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Solution

The fourth proportional to 5,809.47, 8,714.30 and 2,109.39 is: 3,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.47 : 8,714.30 = 2,109.39 : x
  2. Step 2: Convert to fraction form
    5,809.47/8,714.30 = 2,109.39/x
  3. Step 3: Cross multiply
    5,809.47x = 8,714.30 × 2,109.39
  4. Step 4: Simplify right side
    5,809.47x = 18,381,846.73
  5. Step 5: Solve for x
    x = 18,381,846.73/5,809.47
  6. Step 6: Final answer
    x = 3,164.12

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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.