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Finding the Fourth Proportional to 3,172.60, 4,758.90 and 3,107.80

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Solution

The fourth proportional to 3,172.60, 4,758.90 and 3,107.80 is: 4,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.60 : 4,758.90 = 3,107.80 : x
  2. Step 2: Convert to fraction form
    3,172.60/4,758.90 = 3,107.80/x
  3. Step 3: Cross multiply
    3,172.60x = 4,758.90 × 3,107.80
  4. Step 4: Simplify right side
    3,172.60x = 14,789,709.42
  5. Step 5: Solve for x
    x = 14,789,709.42/3,172.60
  6. Step 6: Final answer
    x = 4,661.70

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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.