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Finding the Fourth Proportional to 5,274.62, 7,911.86 and 2,153.94

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Solution

The fourth proportional to 5,274.62, 7,911.86 and 2,153.94 is: 3,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.62 : 7,911.86 = 2,153.94 : x
  2. Step 2: Convert to fraction form
    5,274.62/7,911.86 = 2,153.94/x
  3. Step 3: Cross multiply
    5,274.62x = 7,911.86 × 2,153.94
  4. Step 4: Simplify right side
    5,274.62x = 17,041,671.73
  5. Step 5: Solve for x
    x = 17,041,671.73/5,274.62
  6. Step 6: Final answer
    x = 3,230.88

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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.