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Finding the Fourth Proportional to 3,409.56, 5,114.10 and 1,944.12

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Solution

The fourth proportional to 3,409.56, 5,114.10 and 1,944.12 is: 2,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.56 : 5,114.10 = 1,944.12 : x
  2. Step 2: Convert to fraction form
    3,409.56/5,114.10 = 1,944.12/x
  3. Step 3: Cross multiply
    3,409.56x = 5,114.10 × 1,944.12
  4. Step 4: Simplify right side
    3,409.56x = 9,942,424.09
  5. Step 5: Solve for x
    x = 9,942,424.09/3,409.56
  6. Step 6: Final answer
    x = 2,916.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.