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Finding the Fourth Proportional to 5,552.10, 7,662.14 and 3,194.24

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Solution

The fourth proportional to 5,552.10, 7,662.14 and 3,194.24 is: 4,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.10 : 7,662.14 = 3,194.24 : x
  2. Step 2: Convert to fraction form
    5,552.10/7,662.14 = 3,194.24/x
  3. Step 3: Cross multiply
    5,552.10x = 7,662.14 × 3,194.24
  4. Step 4: Simplify right side
    5,552.10x = 24,474,714.07
  5. Step 5: Solve for x
    x = 24,474,714.07/5,552.10
  6. Step 6: Final answer
    x = 4,408.19

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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.