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Finding the Fourth Proportional to 3,737.88, 5,604.21 and 2,684.34

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Solution

The fourth proportional to 3,737.88, 5,604.21 and 2,684.34 is: 4,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.88 : 5,604.21 = 2,684.34 : x
  2. Step 2: Convert to fraction form
    3,737.88/5,604.21 = 2,684.34/x
  3. Step 3: Cross multiply
    3,737.88x = 5,604.21 × 2,684.34
  4. Step 4: Simplify right side
    3,737.88x = 15,043,605.07
  5. Step 5: Solve for x
    x = 15,043,605.07/3,737.88
  6. Step 6: Final answer
    x = 4,024.64

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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.