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Finding the Fourth Proportional to 5,172.00, 7,757.98 and 1,883.75

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Solution

The fourth proportional to 5,172.00, 7,757.98 and 1,883.75 is: 2,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.00 : 7,757.98 = 1,883.75 : x
  2. Step 2: Convert to fraction form
    5,172.00/7,757.98 = 1,883.75/x
  3. Step 3: Cross multiply
    5,172.00x = 7,757.98 × 1,883.75
  4. Step 4: Simplify right side
    5,172.00x = 14,614,061.92
  5. Step 5: Solve for x
    x = 14,614,061.92/5,172.00
  6. Step 6: Final answer
    x = 2,825.61

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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.