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Finding the Fourth Proportional to 4,685.44, 7,027.44 and 1,397.92

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Solution

The fourth proportional to 4,685.44, 7,027.44 and 1,397.92 is: 2,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.44 : 7,027.44 = 1,397.92 : x
  2. Step 2: Convert to fraction form
    4,685.44/7,027.44 = 1,397.92/x
  3. Step 3: Cross multiply
    4,685.44x = 7,027.44 × 1,397.92
  4. Step 4: Simplify right side
    4,685.44x = 9,823,798.92
  5. Step 5: Solve for x
    x = 9,823,798.92/4,685.44
  6. Step 6: Final answer
    x = 2,096.67

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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.