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Finding the Fourth Proportional to 5,457.44, 8,179.16 and 3,972.90

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Solution

The fourth proportional to 5,457.44, 8,179.16 and 3,972.90 is: 5,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.44 : 8,179.16 = 3,972.90 : x
  2. Step 2: Convert to fraction form
    5,457.44/8,179.16 = 3,972.90/x
  3. Step 3: Cross multiply
    5,457.44x = 8,179.16 × 3,972.90
  4. Step 4: Simplify right side
    5,457.44x = 32,494,984.76
  5. Step 5: Solve for x
    x = 32,494,984.76/5,457.44
  6. Step 6: Final answer
    x = 5,954.25

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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.