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Finding the Fourth Proportional to 4,572.36, 6,856.44 and 1,797

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Solution

The fourth proportional to 4,572.36, 6,856.44 and 1,797 is: 2,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.36 : 6,856.44 = 1,797 : x
  2. Step 2: Convert to fraction form
    4,572.36/6,856.44 = 1,797/x
  3. Step 3: Cross multiply
    4,572.36x = 6,856.44 × 1,797
  4. Step 4: Simplify right side
    4,572.36x = 12,321,022.68
  5. Step 5: Solve for x
    x = 12,321,022.68/4,572.36
  6. Step 6: Final answer
    x = 2,694.67

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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.