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Finding the Fourth Proportional to 3,172.89, 4,758.22 and 951.06

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Solution

The fourth proportional to 3,172.89, 4,758.22 and 951.06 is: 1,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.89 : 4,758.22 = 951.06 : x
  2. Step 2: Convert to fraction form
    3,172.89/4,758.22 = 951.06/x
  3. Step 3: Cross multiply
    3,172.89x = 4,758.22 × 951.06
  4. Step 4: Simplify right side
    3,172.89x = 4,525,352.71
  5. Step 5: Solve for x
    x = 4,525,352.71/3,172.89
  6. Step 6: Final answer
    x = 1,426.26

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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.