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Finding the Fourth Proportional to 3,199.96, 4,809.70 and 2,338.12

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Solution

The fourth proportional to 3,199.96, 4,809.70 and 2,338.12 is: 3,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.96 : 4,809.70 = 2,338.12 : x
  2. Step 2: Convert to fraction form
    3,199.96/4,809.70 = 2,338.12/x
  3. Step 3: Cross multiply
    3,199.96x = 4,809.70 × 2,338.12
  4. Step 4: Simplify right side
    3,199.96x = 11,245,655.76
  5. Step 5: Solve for x
    x = 11,245,655.76/3,199.96
  6. Step 6: Final answer
    x = 3,514.31

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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.