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Finding the Fourth Proportional to 4,997.94, 7,498.46 and 1,878.22

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Solution

The fourth proportional to 4,997.94, 7,498.46 and 1,878.22 is: 2,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.94 : 7,498.46 = 1,878.22 : x
  2. Step 2: Convert to fraction form
    4,997.94/7,498.46 = 1,878.22/x
  3. Step 3: Cross multiply
    4,997.94x = 7,498.46 × 1,878.22
  4. Step 4: Simplify right side
    4,997.94x = 14,083,757.54
  5. Step 5: Solve for x
    x = 14,083,757.54/4,997.94
  6. Step 6: Final answer
    x = 2,817.91

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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.