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Finding the Fourth Proportional to 3,974.02, 5,960.99 and 972.07

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Solution

The fourth proportional to 3,974.02, 5,960.99 and 972.07 is: 1,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.02 : 5,960.99 = 972.07 : x
  2. Step 2: Convert to fraction form
    3,974.02/5,960.99 = 972.07/x
  3. Step 3: Cross multiply
    3,974.02x = 5,960.99 × 972.07
  4. Step 4: Simplify right side
    3,974.02x = 5,794,487.08
  5. Step 5: Solve for x
    x = 5,794,487.08/3,974.02
  6. Step 6: Final answer
    x = 1,458.09

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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.