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Finding the Fourth Proportional to 4,331.76, 5,973.80 and 3,806.88

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Solution

The fourth proportional to 4,331.76, 5,973.80 and 3,806.88 is: 5,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.76 : 5,973.80 = 3,806.88 : x
  2. Step 2: Convert to fraction form
    4,331.76/5,973.80 = 3,806.88/x
  3. Step 3: Cross multiply
    4,331.76x = 5,973.80 × 3,806.88
  4. Step 4: Simplify right side
    4,331.76x = 22,741,520.71
  5. Step 5: Solve for x
    x = 22,741,520.71/4,331.76
  6. Step 6: Final answer
    x = 5,249.95

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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.