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Finding the Fourth Proportional to 5,033.57, 7,548.64 and 1,912.83

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Solution

The fourth proportional to 5,033.57, 7,548.64 and 1,912.83 is: 2,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.57 : 7,548.64 = 1,912.83 : x
  2. Step 2: Convert to fraction form
    5,033.57/7,548.64 = 1,912.83/x
  3. Step 3: Cross multiply
    5,033.57x = 7,548.64 × 1,912.83
  4. Step 4: Simplify right side
    5,033.57x = 14,439,242.72
  5. Step 5: Solve for x
    x = 14,439,242.72/5,033.57
  6. Step 6: Final answer
    x = 2,868.59

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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.