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Finding the Fourth Proportional to 3,645.86, 5,468.26 and 1,305.52

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Solution

The fourth proportional to 3,645.86, 5,468.26 and 1,305.52 is: 1,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.86 : 5,468.26 = 1,305.52 : x
  2. Step 2: Convert to fraction form
    3,645.86/5,468.26 = 1,305.52/x
  3. Step 3: Cross multiply
    3,645.86x = 5,468.26 × 1,305.52
  4. Step 4: Simplify right side
    3,645.86x = 7,138,908.31
  5. Step 5: Solve for x
    x = 7,138,908.31/3,645.86
  6. Step 6: Final answer
    x = 1,958.09

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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.