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Finding the Fourth Proportional to 4,960.24, 7,442.46 and 2,493.76

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Solution

The fourth proportional to 4,960.24, 7,442.46 and 2,493.76 is: 3,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.24 : 7,442.46 = 2,493.76 : x
  2. Step 2: Convert to fraction form
    4,960.24/7,442.46 = 2,493.76/x
  3. Step 3: Cross multiply
    4,960.24x = 7,442.46 × 2,493.76
  4. Step 4: Simplify right side
    4,960.24x = 18,559,709.05
  5. Step 5: Solve for x
    x = 18,559,709.05/4,960.24
  6. Step 6: Final answer
    x = 3,741.70

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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.