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Finding the Fourth Proportional to 3,406.31, 4,699.54 and 2,212.79

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Solution

The fourth proportional to 3,406.31, 4,699.54 and 2,212.79 is: 3,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.31 : 4,699.54 = 2,212.79 : x
  2. Step 2: Convert to fraction form
    3,406.31/4,699.54 = 2,212.79/x
  3. Step 3: Cross multiply
    3,406.31x = 4,699.54 × 2,212.79
  4. Step 4: Simplify right side
    3,406.31x = 10,399,095.12
  5. Step 5: Solve for x
    x = 10,399,095.12/3,406.31
  6. Step 6: Final answer
    x = 3,052.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.