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Finding the Fourth Proportional to 4,972.12, 7,451.46 and 1,892.44

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Solution

The fourth proportional to 4,972.12, 7,451.46 and 1,892.44 is: 2,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.12 : 7,451.46 = 1,892.44 : x
  2. Step 2: Convert to fraction form
    4,972.12/7,451.46 = 1,892.44/x
  3. Step 3: Cross multiply
    4,972.12x = 7,451.46 × 1,892.44
  4. Step 4: Simplify right side
    4,972.12x = 14,101,440.96
  5. Step 5: Solve for x
    x = 14,101,440.96/4,972.12
  6. Step 6: Final answer
    x = 2,836.10

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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.