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Finding the Fourth Proportional to 4,699.65, 7,039.89 and 2,226.96

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Solution

The fourth proportional to 4,699.65, 7,039.89 and 2,226.96 is: 3,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.65 : 7,039.89 = 2,226.96 : x
  2. Step 2: Convert to fraction form
    4,699.65/7,039.89 = 2,226.96/x
  3. Step 3: Cross multiply
    4,699.65x = 7,039.89 × 2,226.96
  4. Step 4: Simplify right side
    4,699.65x = 15,677,553.43
  5. Step 5: Solve for x
    x = 15,677,553.43/4,699.65
  6. Step 6: Final answer
    x = 3,335.90

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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.