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Finding the Fourth Proportional to 3,645.70, 5,468.63 and 1,305.86

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Solution

The fourth proportional to 3,645.70, 5,468.63 and 1,305.86 is: 1,958.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.70 : 5,468.63 = 1,305.86 : x
  2. Step 2: Convert to fraction form
    3,645.70/5,468.63 = 1,305.86/x
  3. Step 3: Cross multiply
    3,645.70x = 5,468.63 × 1,305.86
  4. Step 4: Simplify right side
    3,645.70x = 7,141,231.30
  5. Step 5: Solve for x
    x = 7,141,231.30/3,645.70
  6. Step 6: Final answer
    x = 1,958.81

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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.