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Finding the Fourth Proportional to 4,273.82, 6,400.02 and 2,709.08

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Solution

The fourth proportional to 4,273.82, 6,400.02 and 2,709.08 is: 4,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.82 : 6,400.02 = 2,709.08 : x
  2. Step 2: Convert to fraction form
    4,273.82/6,400.02 = 2,709.08/x
  3. Step 3: Cross multiply
    4,273.82x = 6,400.02 × 2,709.08
  4. Step 4: Simplify right side
    4,273.82x = 17,338,166.18
  5. Step 5: Solve for x
    x = 17,338,166.18/4,273.82
  6. Step 6: Final answer
    x = 4,056.83

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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.