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Finding the Fourth Proportional to 5,208.96, 7,814.22 and 2,248.22

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Solution

The fourth proportional to 5,208.96, 7,814.22 and 2,248.22 is: 3,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.96 : 7,814.22 = 2,248.22 : x
  2. Step 2: Convert to fraction form
    5,208.96/7,814.22 = 2,248.22/x
  3. Step 3: Cross multiply
    5,208.96x = 7,814.22 × 2,248.22
  4. Step 4: Simplify right side
    5,208.96x = 17,568,085.69
  5. Step 5: Solve for x
    x = 17,568,085.69/5,208.96
  6. Step 6: Final answer
    x = 3,372.67

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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.