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Finding the Fourth Proportional to 3,684.68, 5,529.14 and 1,604.19

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Solution

The fourth proportional to 3,684.68, 5,529.14 and 1,604.19 is: 2,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.68 : 5,529.14 = 1,604.19 : x
  2. Step 2: Convert to fraction form
    3,684.68/5,529.14 = 1,604.19/x
  3. Step 3: Cross multiply
    3,684.68x = 5,529.14 × 1,604.19
  4. Step 4: Simplify right side
    3,684.68x = 8,869,791.10
  5. Step 5: Solve for x
    x = 8,869,791.10/3,684.68
  6. Step 6: Final answer
    x = 2,407.21

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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.