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Finding the Fourth Proportional to 3,866.76, 5,793.12 and 3,457.44

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Solution

The fourth proportional to 3,866.76, 5,793.12 and 3,457.44 is: 5,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.76 : 5,793.12 = 3,457.44 : x
  2. Step 2: Convert to fraction form
    3,866.76/5,793.12 = 3,457.44/x
  3. Step 3: Cross multiply
    3,866.76x = 5,793.12 × 3,457.44
  4. Step 4: Simplify right side
    3,866.76x = 20,029,364.81
  5. Step 5: Solve for x
    x = 20,029,364.81/3,866.76
  6. Step 6: Final answer
    x = 5,179.88

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1.5x scale

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.