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Finding the Fourth Proportional to 3,435.92, 5,145.63 and 2,846.54

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Solution

The fourth proportional to 3,435.92, 5,145.63 and 2,846.54 is: 4,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.92 : 5,145.63 = 2,846.54 : x
  2. Step 2: Convert to fraction form
    3,435.92/5,145.63 = 2,846.54/x
  3. Step 3: Cross multiply
    3,435.92x = 5,145.63 × 2,846.54
  4. Step 4: Simplify right side
    3,435.92x = 14,647,243.81
  5. Step 5: Solve for x
    x = 14,647,243.81/3,435.92
  6. Step 6: Final answer
    x = 4,262.98

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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.