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Finding the Fourth Proportional to 3,436.79, 5,148.56 and 2,051.24

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Solution

The fourth proportional to 3,436.79, 5,148.56 and 2,051.24 is: 3,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.79 : 5,148.56 = 2,051.24 : x
  2. Step 2: Convert to fraction form
    3,436.79/5,148.56 = 2,051.24/x
  3. Step 3: Cross multiply
    3,436.79x = 5,148.56 × 2,051.24
  4. Step 4: Simplify right side
    3,436.79x = 10,560,896.22
  5. Step 5: Solve for x
    x = 10,560,896.22/3,436.79
  6. Step 6: Final answer
    x = 3,072.89

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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.