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Finding the Fourth Proportional to 5,806.28, 8,011.50 and 3,682.64

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Solution

The fourth proportional to 5,806.28, 8,011.50 and 3,682.64 is: 5,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.28 : 8,011.50 = 3,682.64 : x
  2. Step 2: Convert to fraction form
    5,806.28/8,011.50 = 3,682.64/x
  3. Step 3: Cross multiply
    5,806.28x = 8,011.50 × 3,682.64
  4. Step 4: Simplify right side
    5,806.28x = 29,503,470.36
  5. Step 5: Solve for x
    x = 29,503,470.36/5,806.28
  6. Step 6: Final answer
    x = 5,081.30

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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.