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Finding the Fourth Proportional to 5,327.96, 7,997.52 and 2,557

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Solution

The fourth proportional to 5,327.96, 7,997.52 and 2,557 is: 3,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.96 : 7,997.52 = 2,557 : x
  2. Step 2: Convert to fraction form
    5,327.96/7,997.52 = 2,557/x
  3. Step 3: Cross multiply
    5,327.96x = 7,997.52 × 2,557
  4. Step 4: Simplify right side
    5,327.96x = 20,449,658.64
  5. Step 5: Solve for x
    x = 20,449,658.64/5,327.96
  6. Step 6: Final answer
    x = 3,838.18

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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.