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Finding the Fourth Proportional to 4,996.28, 7,498.74 and 1,920.44

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Solution

The fourth proportional to 4,996.28, 7,498.74 and 1,920.44 is: 2,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.28 : 7,498.74 = 1,920.44 : x
  2. Step 2: Convert to fraction form
    4,996.28/7,498.74 = 1,920.44/x
  3. Step 3: Cross multiply
    4,996.28x = 7,498.74 × 1,920.44
  4. Step 4: Simplify right side
    4,996.28x = 14,400,880.25
  5. Step 5: Solve for x
    x = 14,400,880.25/4,996.28
  6. Step 6: Final answer
    x = 2,882.32

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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.