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Finding the Fourth Proportional to 4,160.34, 5,737.77 and 3,274.74

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Solution

The fourth proportional to 4,160.34, 5,737.77 and 3,274.74 is: 4,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.34 : 5,737.77 = 3,274.74 : x
  2. Step 2: Convert to fraction form
    4,160.34/5,737.77 = 3,274.74/x
  3. Step 3: Cross multiply
    4,160.34x = 5,737.77 × 3,274.74
  4. Step 4: Simplify right side
    4,160.34x = 18,789,704.93
  5. Step 5: Solve for x
    x = 18,789,704.93/4,160.34
  6. Step 6: Final answer
    x = 4,516.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.