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Finding the Fourth Proportional to 3,679.44, 5,518.04 and 1,457.41

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Solution

The fourth proportional to 3,679.44, 5,518.04 and 1,457.41 is: 2,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.44 : 5,518.04 = 1,457.41 : x
  2. Step 2: Convert to fraction form
    3,679.44/5,518.04 = 1,457.41/x
  3. Step 3: Cross multiply
    3,679.44x = 5,518.04 × 1,457.41
  4. Step 4: Simplify right side
    3,679.44x = 8,042,044.14
  5. Step 5: Solve for x
    x = 8,042,044.14/3,679.44
  6. Step 6: Final answer
    x = 2,185.67

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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.