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Finding the Fourth Proportional to 5,645.89, 8,470.86 and 2,525.64

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Solution

The fourth proportional to 5,645.89, 8,470.86 and 2,525.64 is: 3,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.89 : 8,470.86 = 2,525.64 : x
  2. Step 2: Convert to fraction form
    5,645.89/8,470.86 = 2,525.64/x
  3. Step 3: Cross multiply
    5,645.89x = 8,470.86 × 2,525.64
  4. Step 4: Simplify right side
    5,645.89x = 21,394,342.85
  5. Step 5: Solve for x
    x = 21,394,342.85/5,645.89
  6. Step 6: Final answer
    x = 3,789.37

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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.