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Finding the Fourth Proportional to 5,731, 7,908.78 and 3,247

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Solution

The fourth proportional to 5,731, 7,908.78 and 3,247 is: 4,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731 : 7,908.78 = 3,247 : x
  2. Step 2: Convert to fraction form
    5,731/7,908.78 = 3,247/x
  3. Step 3: Cross multiply
    5,731x = 7,908.78 × 3,247
  4. Step 4: Simplify right side
    5,731x = 25,679,808.66
  5. Step 5: Solve for x
    x = 25,679,808.66/5,731
  6. Step 6: Final answer
    x = 4,480.86

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