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Finding the Fourth Proportional to 5,682.88, 8,524.32 and 1,786.51

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Solution

The fourth proportional to 5,682.88, 8,524.32 and 1,786.51 is: 2,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.88 : 8,524.32 = 1,786.51 : x
  2. Step 2: Convert to fraction form
    5,682.88/8,524.32 = 1,786.51/x
  3. Step 3: Cross multiply
    5,682.88x = 8,524.32 × 1,786.51
  4. Step 4: Simplify right side
    5,682.88x = 15,228,782.92
  5. Step 5: Solve for x
    x = 15,228,782.92/5,682.88
  6. Step 6: Final answer
    x = 2,679.77

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