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Finding the Fourth Proportional to 3,737.77, 5,606.98 and 964.42

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Solution

The fourth proportional to 3,737.77, 5,606.98 and 964.42 is: 1,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.77 : 5,606.98 = 964.42 : x
  2. Step 2: Convert to fraction form
    3,737.77/5,606.98 = 964.42/x
  3. Step 3: Cross multiply
    3,737.77x = 5,606.98 × 964.42
  4. Step 4: Simplify right side
    3,737.77x = 5,407,467.22
  5. Step 5: Solve for x
    x = 5,407,467.22/3,737.77
  6. Step 6: Final answer
    x = 1,446.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.