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Finding the Fourth Proportional to 3,287.96, 4,537.41 and 1,795.85

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Solution

The fourth proportional to 3,287.96, 4,537.41 and 1,795.85 is: 2,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.96 : 4,537.41 = 1,795.85 : x
  2. Step 2: Convert to fraction form
    3,287.96/4,537.41 = 1,795.85/x
  3. Step 3: Cross multiply
    3,287.96x = 4,537.41 × 1,795.85
  4. Step 4: Simplify right side
    3,287.96x = 8,148,507.75
  5. Step 5: Solve for x
    x = 8,148,507.75/3,287.96
  6. Step 6: Final answer
    x = 2,478.29

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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.