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Finding the Fourth Proportional to 5,819.49, 8,032.14 and 3,830.22

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Solution

The fourth proportional to 5,819.49, 8,032.14 and 3,830.22 is: 5,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.49 : 8,032.14 = 3,830.22 : x
  2. Step 2: Convert to fraction form
    5,819.49/8,032.14 = 3,830.22/x
  3. Step 3: Cross multiply
    5,819.49x = 8,032.14 × 3,830.22
  4. Step 4: Simplify right side
    5,819.49x = 30,764,863.27
  5. Step 5: Solve for x
    x = 30,764,863.27/5,819.49
  6. Step 6: Final answer
    x = 5,286.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.