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Finding the Fourth Proportional to 3,606.42, 5,409.83 and 1,759.11

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Solution

The fourth proportional to 3,606.42, 5,409.83 and 1,759.11 is: 2,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.42 : 5,409.83 = 1,759.11 : x
  2. Step 2: Convert to fraction form
    3,606.42/5,409.83 = 1,759.11/x
  3. Step 3: Cross multiply
    3,606.42x = 5,409.83 × 1,759.11
  4. Step 4: Simplify right side
    3,606.42x = 9,516,486.05
  5. Step 5: Solve for x
    x = 9,516,486.05/3,606.42
  6. Step 6: Final answer
    x = 2,638.76

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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.