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Finding the Fourth Proportional to 3,737.83, 5,606.82 and 964.57

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Solution

The fourth proportional to 3,737.83, 5,606.82 and 964.57 is: 1,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.83 : 5,606.82 = 964.57 : x
  2. Step 2: Convert to fraction form
    3,737.83/5,606.82 = 964.57/x
  3. Step 3: Cross multiply
    3,737.83x = 5,606.82 × 964.57
  4. Step 4: Simplify right side
    3,737.83x = 5,408,170.37
  5. Step 5: Solve for x
    x = 5,408,170.37/3,737.83
  6. Step 6: Final answer
    x = 1,446.87

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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.