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Finding the Fourth Proportional to 5,489.10, 8,235.14 and 1,979.50

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Solution

The fourth proportional to 5,489.10, 8,235.14 and 1,979.50 is: 2,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.10 : 8,235.14 = 1,979.50 : x
  2. Step 2: Convert to fraction form
    5,489.10/8,235.14 = 1,979.50/x
  3. Step 3: Cross multiply
    5,489.10x = 8,235.14 × 1,979.50
  4. Step 4: Simplify right side
    5,489.10x = 16,301,452.94
  5. Step 5: Solve for x
    x = 16,301,452.94/5,489.10
  6. Step 6: Final answer
    x = 2,969.78

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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.