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Finding the Fourth Proportional to 4,861.62, 6,709.01 and 2,737.22

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Solution

The fourth proportional to 4,861.62, 6,709.01 and 2,737.22 is: 3,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.62 : 6,709.01 = 2,737.22 : x
  2. Step 2: Convert to fraction form
    4,861.62/6,709.01 = 2,737.22/x
  3. Step 3: Cross multiply
    4,861.62x = 6,709.01 × 2,737.22
  4. Step 4: Simplify right side
    4,861.62x = 18,363,989.12
  5. Step 5: Solve for x
    x = 18,363,989.12/4,861.62
  6. Step 6: Final answer
    x = 3,777.34

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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.