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Finding the Fourth Proportional to 5,262.82, 7,262.84 and 2,872.94

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Solution

The fourth proportional to 5,262.82, 7,262.84 and 2,872.94 is: 3,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.82 : 7,262.84 = 2,872.94 : x
  2. Step 2: Convert to fraction form
    5,262.82/7,262.84 = 2,872.94/x
  3. Step 3: Cross multiply
    5,262.82x = 7,262.84 × 2,872.94
  4. Step 4: Simplify right side
    5,262.82x = 20,865,727.62
  5. Step 5: Solve for x
    x = 20,865,727.62/5,262.82
  6. Step 6: Final answer
    x = 3,964.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.