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Finding the Fourth Proportional to 5,644.50, 8,465.90 and 3,558.20

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Solution

The fourth proportional to 5,644.50, 8,465.90 and 3,558.20 is: 5,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.50 : 8,465.90 = 3,558.20 : x
  2. Step 2: Convert to fraction form
    5,644.50/8,465.90 = 3,558.20/x
  3. Step 3: Cross multiply
    5,644.50x = 8,465.90 × 3,558.20
  4. Step 4: Simplify right side
    5,644.50x = 30,123,305.26
  5. Step 5: Solve for x
    x = 30,123,305.26/5,644.50
  6. Step 6: Final answer
    x = 5,336.75

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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.