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Finding the Fourth Proportional to 5,252.66, 7,874.73 and 1,965.27

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Solution

The fourth proportional to 5,252.66, 7,874.73 and 1,965.27 is: 2,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.66 : 7,874.73 = 1,965.27 : x
  2. Step 2: Convert to fraction form
    5,252.66/7,874.73 = 1,965.27/x
  3. Step 3: Cross multiply
    5,252.66x = 7,874.73 × 1,965.27
  4. Step 4: Simplify right side
    5,252.66x = 15,475,960.80
  5. Step 5: Solve for x
    x = 15,475,960.80/5,252.66
  6. Step 6: Final answer
    x = 2,946.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.