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Finding the Fourth Proportional to 3,652.60, 5,467.38 and 2,609.24

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Solution

The fourth proportional to 3,652.60, 5,467.38 and 2,609.24 is: 3,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.60 : 5,467.38 = 2,609.24 : x
  2. Step 2: Convert to fraction form
    3,652.60/5,467.38 = 2,609.24/x
  3. Step 3: Cross multiply
    3,652.60x = 5,467.38 × 2,609.24
  4. Step 4: Simplify right side
    3,652.60x = 14,265,706.59
  5. Step 5: Solve for x
    x = 14,265,706.59/3,652.60
  6. Step 6: Final answer
    x = 3,905.63

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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.