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Finding the Fourth Proportional to 3,072.87, 4,609.97 and 1,125.07

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Solution

The fourth proportional to 3,072.87, 4,609.97 and 1,125.07 is: 1,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.87 : 4,609.97 = 1,125.07 : x
  2. Step 2: Convert to fraction form
    3,072.87/4,609.97 = 1,125.07/x
  3. Step 3: Cross multiply
    3,072.87x = 4,609.97 × 1,125.07
  4. Step 4: Simplify right side
    3,072.87x = 5,186,510.27
  5. Step 5: Solve for x
    x = 5,186,510.27/3,072.87
  6. Step 6: Final answer
    x = 1,687.84

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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.