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Finding the Fourth Proportional to 5,156.57, 7,728.50 and 2,033.43

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Solution

The fourth proportional to 5,156.57, 7,728.50 and 2,033.43 is: 3,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.57 : 7,728.50 = 2,033.43 : x
  2. Step 2: Convert to fraction form
    5,156.57/7,728.50 = 2,033.43/x
  3. Step 3: Cross multiply
    5,156.57x = 7,728.50 × 2,033.43
  4. Step 4: Simplify right side
    5,156.57x = 15,715,353.59
  5. Step 5: Solve for x
    x = 15,715,353.59/5,156.57
  6. Step 6: Final answer
    x = 3,047.64

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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.