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Finding the Fourth Proportional to 3,558.53, 5,337.97 and 1,583.82

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Solution

The fourth proportional to 3,558.53, 5,337.97 and 1,583.82 is: 2,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.53 : 5,337.97 = 1,583.82 : x
  2. Step 2: Convert to fraction form
    3,558.53/5,337.97 = 1,583.82/x
  3. Step 3: Cross multiply
    3,558.53x = 5,337.97 × 1,583.82
  4. Step 4: Simplify right side
    3,558.53x = 8,454,379.69
  5. Step 5: Solve for x
    x = 8,454,379.69/3,558.53
  6. Step 6: Final answer
    x = 2,375.81

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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.