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Finding the Fourth Proportional to 5,286.46, 7,941.84 and 3,730.04

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Solution

The fourth proportional to 5,286.46, 7,941.84 and 3,730.04 is: 5,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.46 : 7,941.84 = 3,730.04 : x
  2. Step 2: Convert to fraction form
    5,286.46/7,941.84 = 3,730.04/x
  3. Step 3: Cross multiply
    5,286.46x = 7,941.84 × 3,730.04
  4. Step 4: Simplify right side
    5,286.46x = 29,623,380.87
  5. Step 5: Solve for x
    x = 29,623,380.87/5,286.46
  6. Step 6: Final answer
    x = 5,603.63

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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.