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Finding the Fourth Proportional to 5,763, 7,952.94 and 3,279.16

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Solution

The fourth proportional to 5,763, 7,952.94 and 3,279.16 is: 4,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763 : 7,952.94 = 3,279.16 : x
  2. Step 2: Convert to fraction form
    5,763/7,952.94 = 3,279.16/x
  3. Step 3: Cross multiply
    5,763x = 7,952.94 × 3,279.16
  4. Step 4: Simplify right side
    5,763x = 26,078,962.73
  5. Step 5: Solve for x
    x = 26,078,962.73/5,763
  6. Step 6: Final answer
    x = 4,525.24

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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.