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Finding the Fourth Proportional to 4,972.50, 7,450.38 and 3,119.22

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Solution

The fourth proportional to 4,972.50, 7,450.38 and 3,119.22 is: 4,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.50 : 7,450.38 = 3,119.22 : x
  2. Step 2: Convert to fraction form
    4,972.50/7,450.38 = 3,119.22/x
  3. Step 3: Cross multiply
    4,972.50x = 7,450.38 × 3,119.22
  4. Step 4: Simplify right side
    4,972.50x = 23,239,374.30
  5. Step 5: Solve for x
    x = 23,239,374.30/4,972.50
  6. Step 6: Final answer
    x = 4,673.58

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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.