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Finding the Fourth Proportional to 5,204.36, 7,799.16 and 2,609.12

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Solution

The fourth proportional to 5,204.36, 7,799.16 and 2,609.12 is: 3,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.36 : 7,799.16 = 2,609.12 : x
  2. Step 2: Convert to fraction form
    5,204.36/7,799.16 = 2,609.12/x
  3. Step 3: Cross multiply
    5,204.36x = 7,799.16 × 2,609.12
  4. Step 4: Simplify right side
    5,204.36x = 20,348,944.34
  5. Step 5: Solve for x
    x = 20,348,944.34/5,204.36
  6. Step 6: Final answer
    x = 3,909.98

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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.