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Finding the Fourth Proportional to 5,766.72, 7,956 and 5,208

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Solution

The fourth proportional to 5,766.72, 7,956 and 5,208 is: 7,185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.72 : 7,956 = 5,208 : x
  2. Step 2: Convert to fraction form
    5,766.72/7,956 = 5,208/x
  3. Step 3: Cross multiply
    5,766.72x = 7,956 × 5,208
  4. Step 4: Simplify right side
    5,766.72x = 41,434,848
  5. Step 5: Solve for x
    x = 41,434,848/5,766.72
  6. Step 6: Final answer
    x = 7,185.17

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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.