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Finding the Fourth Proportional to 4,180.46, 6,265.49 and 3,659.22

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Solution

The fourth proportional to 4,180.46, 6,265.49 and 3,659.22 is: 5,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.46 : 6,265.49 = 3,659.22 : x
  2. Step 2: Convert to fraction form
    4,180.46/6,265.49 = 3,659.22/x
  3. Step 3: Cross multiply
    4,180.46x = 6,265.49 × 3,659.22
  4. Step 4: Simplify right side
    4,180.46x = 22,926,788.02
  5. Step 5: Solve for x
    x = 22,926,788.02/4,180.46
  6. Step 6: Final answer
    x = 5,484.28

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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.