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Finding the Fourth Proportional to 3,557.64, 5,337.60 and 1,609.32

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Solution

The fourth proportional to 3,557.64, 5,337.60 and 1,609.32 is: 2,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.64 : 5,337.60 = 1,609.32 : x
  2. Step 2: Convert to fraction form
    3,557.64/5,337.60 = 1,609.32/x
  3. Step 3: Cross multiply
    3,557.64x = 5,337.60 × 1,609.32
  4. Step 4: Simplify right side
    3,557.64x = 8,589,906.43
  5. Step 5: Solve for x
    x = 8,589,906.43/3,557.64
  6. Step 6: Final answer
    x = 2,414.50

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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.