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Finding the Fourth Proportional to 3,154.40, 4,755.24 and 2,942.96

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Solution

The fourth proportional to 3,154.40, 4,755.24 and 2,942.96 is: 4,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.40 : 4,755.24 = 2,942.96 : x
  2. Step 2: Convert to fraction form
    3,154.40/4,755.24 = 2,942.96/x
  3. Step 3: Cross multiply
    3,154.40x = 4,755.24 × 2,942.96
  4. Step 4: Simplify right side
    3,154.40x = 13,994,481.11
  5. Step 5: Solve for x
    x = 13,994,481.11/3,154.40
  6. Step 6: Final answer
    x = 4,436.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.