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Finding the Fourth Proportional to 5,979.64, 8,969.78 and 1,819.78

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Solution

The fourth proportional to 5,979.64, 8,969.78 and 1,819.78 is: 2,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.64 : 8,969.78 = 1,819.78 : x
  2. Step 2: Convert to fraction form
    5,979.64/8,969.78 = 1,819.78/x
  3. Step 3: Cross multiply
    5,979.64x = 8,969.78 × 1,819.78
  4. Step 4: Simplify right side
    5,979.64x = 16,323,026.25
  5. Step 5: Solve for x
    x = 16,323,026.25/5,979.64
  6. Step 6: Final answer
    x = 2,729.77

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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.