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Finding the Fourth Proportional to 5,609.88, 8,414.94 and 1,714.29

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Solution

The fourth proportional to 5,609.88, 8,414.94 and 1,714.29 is: 2,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.88 : 8,414.94 = 1,714.29 : x
  2. Step 2: Convert to fraction form
    5,609.88/8,414.94 = 1,714.29/x
  3. Step 3: Cross multiply
    5,609.88x = 8,414.94 × 1,714.29
  4. Step 4: Simplify right side
    5,609.88x = 14,425,636.39
  5. Step 5: Solve for x
    x = 14,425,636.39/5,609.88
  6. Step 6: Final answer
    x = 2,571.47

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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.