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Finding the Fourth Proportional to 4,942.48, 7,408.20 and 2,996

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Solution

The fourth proportional to 4,942.48, 7,408.20 and 2,996 is: 4,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.48 : 7,408.20 = 2,996 : x
  2. Step 2: Convert to fraction form
    4,942.48/7,408.20 = 2,996/x
  3. Step 3: Cross multiply
    4,942.48x = 7,408.20 × 2,996
  4. Step 4: Simplify right side
    4,942.48x = 22,194,967.20
  5. Step 5: Solve for x
    x = 22,194,967.20/4,942.48
  6. Step 6: Final answer
    x = 4,490.65

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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.