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Finding the Fourth Proportional to 3,172.00, 4,756.50 and 949.97

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Solution

The fourth proportional to 3,172.00, 4,756.50 and 949.97 is: 1,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.00 : 4,756.50 = 949.97 : x
  2. Step 2: Convert to fraction form
    3,172.00/4,756.50 = 949.97/x
  3. Step 3: Cross multiply
    3,172.00x = 4,756.50 × 949.97
  4. Step 4: Simplify right side
    3,172.00x = 4,518,548.21
  5. Step 5: Solve for x
    x = 4,518,548.21/3,172.00
  6. Step 6: Final answer
    x = 1,424.51

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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.