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Finding the Fourth Proportional to 3,409.96, 5,111.25 and 1,651.24

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Solution

The fourth proportional to 3,409.96, 5,111.25 and 1,651.24 is: 2,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.96 : 5,111.25 = 1,651.24 : x
  2. Step 2: Convert to fraction form
    3,409.96/5,111.25 = 1,651.24/x
  3. Step 3: Cross multiply
    3,409.96x = 5,111.25 × 1,651.24
  4. Step 4: Simplify right side
    3,409.96x = 8,439,874.89
  5. Step 5: Solve for x
    x = 8,439,874.89/3,409.96
  6. Step 6: Final answer
    x = 2,475.07

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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.