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Finding the Fourth Proportional to 4,960.54, 7,438.46 and 2,881.20

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Solution

The fourth proportional to 4,960.54, 7,438.46 and 2,881.20 is: 4,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.54 : 7,438.46 = 2,881.20 : x
  2. Step 2: Convert to fraction form
    4,960.54/7,438.46 = 2,881.20/x
  3. Step 3: Cross multiply
    4,960.54x = 7,438.46 × 2,881.20
  4. Step 4: Simplify right side
    4,960.54x = 21,431,690.95
  5. Step 5: Solve for x
    x = 21,431,690.95/4,960.54
  6. Step 6: Final answer
    x = 4,320.44

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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.