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Finding the Fourth Proportional to 5,786.48, 8,684.56 and 2,502.08

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Solution

The fourth proportional to 5,786.48, 8,684.56 and 2,502.08 is: 3,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.48 : 8,684.56 = 2,502.08 : x
  2. Step 2: Convert to fraction form
    5,786.48/8,684.56 = 2,502.08/x
  3. Step 3: Cross multiply
    5,786.48x = 8,684.56 × 2,502.08
  4. Step 4: Simplify right side
    5,786.48x = 21,729,463.88
  5. Step 5: Solve for x
    x = 21,729,463.88/5,786.48
  6. Step 6: Final answer
    x = 3,755.21

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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.