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Finding the Fourth Proportional to 5,972.49, 8,960.05 and 2,274.74

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Solution

The fourth proportional to 5,972.49, 8,960.05 and 2,274.74 is: 3,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.49 : 8,960.05 = 2,274.74 : x
  2. Step 2: Convert to fraction form
    5,972.49/8,960.05 = 2,274.74/x
  3. Step 3: Cross multiply
    5,972.49x = 8,960.05 × 2,274.74
  4. Step 4: Simplify right side
    5,972.49x = 20,381,784.14
  5. Step 5: Solve for x
    x = 20,381,784.14/5,972.49
  6. Step 6: Final answer
    x = 3,412.61

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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.