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Finding the Fourth Proportional to 3,659.08, 5,462.09 and 3,402.73

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Solution

The fourth proportional to 3,659.08, 5,462.09 and 3,402.73 is: 5,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.08 : 5,462.09 = 3,402.73 : x
  2. Step 2: Convert to fraction form
    3,659.08/5,462.09 = 3,402.73/x
  3. Step 3: Cross multiply
    3,659.08x = 5,462.09 × 3,402.73
  4. Step 4: Simplify right side
    3,659.08x = 18,586,017.51
  5. Step 5: Solve for x
    x = 18,586,017.51/3,659.08
  6. Step 6: Final answer
    x = 5,079.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.