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Finding the Fourth Proportional to 4,005.86, 5,525.82 and 2,824.88

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Solution

The fourth proportional to 4,005.86, 5,525.82 and 2,824.88 is: 3,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.86 : 5,525.82 = 2,824.88 : x
  2. Step 2: Convert to fraction form
    4,005.86/5,525.82 = 2,824.88/x
  3. Step 3: Cross multiply
    4,005.86x = 5,525.82 × 2,824.88
  4. Step 4: Simplify right side
    4,005.86x = 15,609,750.77
  5. Step 5: Solve for x
    x = 15,609,750.77/4,005.86
  6. Step 6: Final answer
    x = 3,896.73

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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.