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Finding the Fourth Proportional to 3,447.86, 5,174.37 and 2,525.76

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Solution

The fourth proportional to 3,447.86, 5,174.37 and 2,525.76 is: 3,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.86 : 5,174.37 = 2,525.76 : x
  2. Step 2: Convert to fraction form
    3,447.86/5,174.37 = 2,525.76/x
  3. Step 3: Cross multiply
    3,447.86x = 5,174.37 × 2,525.76
  4. Step 4: Simplify right side
    3,447.86x = 13,069,216.77
  5. Step 5: Solve for x
    x = 13,069,216.77/3,447.86
  6. Step 6: Final answer
    x = 3,790.54

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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.