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Finding the Fourth Proportional to 5,343.60, 8,016.26 and 1,645.83

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Solution

The fourth proportional to 5,343.60, 8,016.26 and 1,645.83 is: 2,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.60 : 8,016.26 = 1,645.83 : x
  2. Step 2: Convert to fraction form
    5,343.60/8,016.26 = 1,645.83/x
  3. Step 3: Cross multiply
    5,343.60x = 8,016.26 × 1,645.83
  4. Step 4: Simplify right side
    5,343.60x = 13,193,397.80
  5. Step 5: Solve for x
    x = 13,193,397.80/5,343.60
  6. Step 6: Final answer
    x = 2,469.01

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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.