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Finding the Fourth Proportional to 3,662.60, 5,494.16 and 1,471.33

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Solution

The fourth proportional to 3,662.60, 5,494.16 and 1,471.33 is: 2,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.60 : 5,494.16 = 1,471.33 : x
  2. Step 2: Convert to fraction form
    3,662.60/5,494.16 = 1,471.33/x
  3. Step 3: Cross multiply
    3,662.60x = 5,494.16 × 1,471.33
  4. Step 4: Simplify right side
    3,662.60x = 8,083,706.86
  5. Step 5: Solve for x
    x = 8,083,706.86/3,662.60
  6. Step 6: Final answer
    x = 2,207.10

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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.