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Finding the Fourth Proportional to 5,157.58, 7,733.77 and 2,525.29

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Solution

The fourth proportional to 5,157.58, 7,733.77 and 2,525.29 is: 3,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.58 : 7,733.77 = 2,525.29 : x
  2. Step 2: Convert to fraction form
    5,157.58/7,733.77 = 2,525.29/x
  3. Step 3: Cross multiply
    5,157.58x = 7,733.77 × 2,525.29
  4. Step 4: Simplify right side
    5,157.58x = 19,530,012.04
  5. Step 5: Solve for x
    x = 19,530,012.04/5,157.58
  6. Step 6: Final answer
    x = 3,786.66

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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.