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Finding the Fourth Proportional to 3,594.96, 5,394.60 and 1,647

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Solution

The fourth proportional to 3,594.96, 5,394.60 and 1,647 is: 2,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.96 : 5,394.60 = 1,647 : x
  2. Step 2: Convert to fraction form
    3,594.96/5,394.60 = 1,647/x
  3. Step 3: Cross multiply
    3,594.96x = 5,394.60 × 1,647
  4. Step 4: Simplify right side
    3,594.96x = 8,884,906.20
  5. Step 5: Solve for x
    x = 8,884,906.20/3,594.96
  6. Step 6: Final answer
    x = 2,471.49

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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.